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Simplifying -8x(x + 1) + -8 = 6 + -9x Reorder the terms: -8x(1 + x) + -8 = 6 + -9x (1 * -8x + x * -8x) + -8 = 6 + -9x (-8x + -8x2) + -8 = 6 + -9x Reorder the terms: -8 + -8x + -8x2 = 6 + -9x Solving -8 + -8x + -8x2 = 6 + -9x Solving for variable 'x'. Reorder the terms: -8 + -6 + -8x + 9x + -8x2 = 6 + -9x + -6 + 9x Combine like terms: -8 + -6 = -14 -14 + -8x + 9x + -8x2 = 6 + -9x + -6 + 9x Combine like terms: -8x + 9x = 1x -14 + 1x + -8x2 = 6 + -9x + -6 + 9x Reorder the terms: -14 + 1x + -8x2 = 6 + -6 + -9x + 9x Combine like terms: 6 + -6 = 0 -14 + 1x + -8x2 = 0 + -9x + 9x -14 + 1x + -8x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 1x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1.75 + -0.125x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.125x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.125x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.125x + x2 = 0 + -1.75 -0.125x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.125x + x2 = -1.75 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 = -1.75 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -1.75 + 0.00390625 Combine like terms: -1.75 + 0.00390625 = -1.74609375 0.00390625 + -0.125x + x2 = -1.74609375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -1.74609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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