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Simplifying 4x[(2x + -4) + 6] + -3x = -117 Reorder the terms: 4x[(-4 + 2x) + 6] + -3x = -117 Remove parenthesis around (-4 + 2x) 4x[-4 + 2x + 6] + -3x = -117 Reorder the terms: 4x[-4 + 6 + 2x] + -3x = -117 Combine like terms: -4 + 6 = 2 4x[2 + 2x] + -3x = -117 [2 * 4x + 2x * 4x] + -3x = -117 [8x + 8x2] + -3x = -117 Reorder the terms: 8x + -3x + 8x2 = -117 Combine like terms: 8x + -3x = 5x 5x + 8x2 = -117 Solving 5x + 8x2 = -117 Solving for variable 'x'. Reorder the terms: 117 + 5x + 8x2 = -117 + 117 Combine like terms: -117 + 117 = 0 117 + 5x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 14.625 + 0.625x + x2 = 0 Move the constant term to the right: Add '-14.625' to each side of the equation. 14.625 + 0.625x + -14.625 + x2 = 0 + -14.625 Reorder the terms: 14.625 + -14.625 + 0.625x + x2 = 0 + -14.625 Combine like terms: 14.625 + -14.625 = 0.000 0.000 + 0.625x + x2 = 0 + -14.625 0.625x + x2 = 0 + -14.625 Combine like terms: 0 + -14.625 = -14.625 0.625x + x2 = -14.625 The x term is 0.625x. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625x + 0.09765625 + x2 = -14.625 + 0.09765625 Reorder the terms: 0.09765625 + 0.625x + x2 = -14.625 + 0.09765625 Combine like terms: -14.625 + 0.09765625 = -14.52734375 0.09765625 + 0.625x + x2 = -14.52734375 Factor a perfect square on the left side: (x + 0.3125)(x + 0.3125) = -14.52734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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