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Simplifying 5 + -2x + -4 + 9 + x = 0.5 * 5 + -2x * -4x + 9 Reorder the terms: 5 + -4 + 9 + -2x + x = 0.5 * 5 + -2x * -4x + 9 Combine like terms: 5 + -4 = 1 1 + 9 + -2x + x = 0.5 * 5 + -2x * -4x + 9 Combine like terms: 1 + 9 = 10 10 + -2x + x = 0.5 * 5 + -2x * -4x + 9 Combine like terms: -2x + x = -1x 10 + -1x = 0.5 * 5 + -2x * -4x + 9 Multiply 0.5 * 5 10 + -1x = 2.5 + -2x * -4x + 9 Reorder the terms for easier multiplication: 10 + -1x = 2.5 + -2 * -4x * x + 9 Multiply -2 * -4 10 + -1x = 2.5 + 8x * x + 9 Multiply x * x 10 + -1x = 2.5 + 8x2 + 9 Reorder the terms: 10 + -1x = 2.5 + 9 + 8x2 Combine like terms: 2.5 + 9 = 11.5 10 + -1x = 11.5 + 8x2 Solving 10 + -1x = 11.5 + 8x2 Solving for variable 'x'. Reorder the terms: 10 + -11.5 + -1x + -8x2 = 11.5 + 8x2 + -11.5 + -8x2 Combine like terms: 10 + -11.5 = -1.5 -1.5 + -1x + -8x2 = 11.5 + 8x2 + -11.5 + -8x2 Reorder the terms: -1.5 + -1x + -8x2 = 11.5 + -11.5 + 8x2 + -8x2 Combine like terms: 11.5 + -11.5 = 0.0 -1.5 + -1x + -8x2 = 0.0 + 8x2 + -8x2 -1.5 + -1x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1.5 + -1x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.1875 + 0.125x + x2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + 0.125x + -0.1875 + x2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + 0.125x + x2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + 0.125x + x2 = 0 + -0.1875 0.125x + x2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 0.125x + x2 = -0.1875 The x term is 0.125x. Take half its coefficient (0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. 0.125x + 0.00390625 + x2 = -0.1875 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -0.1875 + 0.00390625 Combine like terms: -0.1875 + 0.00390625 = -0.18359375 0.00390625 + 0.125x + x2 = -0.18359375 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -0.18359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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