{
  "id": "math-equation-solver",
  "version": "1.0.0",
  "name": "Math Equation Solver",
  "shortName": "Math Equation Solver",
  "description": "Solve a linear equation ax + b = c or a quadratic equation ax² + bx + c = 0.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "math",
    "equation",
    "solver",
    "math equation solver"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/math-equation-solver.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/math-equation-solver/",
    "definition": "/calculator/math-equation-solver/definition.json",
    "schema": "/calculator/math-equation-solver/schema.json",
    "llms": "/calculator/math-equation-solver/llms.txt",
    "legacyDefinition": "/calculator/math-equation-solver.json"
  },
  "queryExample": "https://askcalculators.com/calculator/math-equation-solver/?equationType=linear&a=2&b=3&c=11",
  "queryParameters": {
    "equationType": {
      "label": "Equation type",
      "type": "select",
      "required": true,
      "default": "linear"
    },
    "a": {
      "label": "a",
      "type": "number",
      "required": true,
      "default": 2
    },
    "b": {
      "label": "b",
      "type": "number",
      "required": true,
      "default": 3
    },
    "c": {
      "label": "c",
      "type": "number",
      "required": true,
      "default": 11
    }
  },
  "inputs": [
    {
      "id": "equationType",
      "label": "Equation type",
      "type": "select",
      "required": true,
      "defaultValue": "linear",
      "options": [
        {
          "label": "Linear: ax + b = c",
          "value": "linear"
        },
        {
          "label": "Quadratic: ax² + bx + c = 0",
          "value": "quadratic"
        }
      ]
    },
    {
      "id": "a",
      "label": "a",
      "type": "number",
      "required": true,
      "defaultValue": 2,
      "step": 0.001
    },
    {
      "id": "b",
      "label": "b",
      "type": "number",
      "required": true,
      "defaultValue": 3,
      "step": 0.001
    },
    {
      "id": "c",
      "label": "c",
      "type": "number",
      "required": true,
      "defaultValue": 11,
      "step": 0.001
    }
  ],
  "outputs": [
    {
      "id": "solution",
      "label": "Solution",
      "format": "text",
      "primary": true
    },
    {
      "id": "discriminant",
      "label": "Discriminant (quadratic)",
      "format": "number",
      "digits": 8
    },
    {
      "id": "verification",
      "label": "Verification",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "linear x = (c − b) ÷ a; quadratic x = [−b ± √(b² − 4ac)] ÷ 2a"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "equationType": "linear",
        "a": 2,
        "b": 3,
        "c": 11
      }
    }
  ],
  "sources": []
}
