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Simplifying (4x * 4x) + 13x + 3 = 0 Reorder the terms for easier multiplication: (4 * 4x * x) + 13x + 3 = 0 Multiply 4 * 4 (16x * x) + 13x + 3 = 0 Multiply x * x (16x2) + 13x + 3 = 0 Reorder the terms: 3 + 13x + (16x2) = 0 Solving 3 + 13x + (16x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + 0.8125x + x2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + 0.8125x + -0.1875 + x2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + 0.8125x + x2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + 0.8125x + x2 = 0 + -0.1875 0.8125x + x2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 0.8125x + x2 = -0.1875 The x term is 0.8125x. Take half its coefficient (0.40625). Square it (0.1650390625) and add it to both sides. Add '0.1650390625' to each side of the equation. 0.8125x + 0.1650390625 + x2 = -0.1875 + 0.1650390625 Reorder the terms: 0.1650390625 + 0.8125x + x2 = -0.1875 + 0.1650390625 Combine like terms: -0.1875 + 0.1650390625 = -0.0224609375 0.1650390625 + 0.8125x + x2 = -0.0224609375 Factor a perfect square on the left side: ((x) + 0.40625)((x) + 0.40625) = -0.0224609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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