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Simplifying 7x2 + -64x + 64 = -2x2 + -91x + 46 Reorder the terms: 64 + -64x + 7x2 = -2x2 + -91x + 46 Reorder the terms: 64 + -64x + 7x2 = 46 + -91x + -2x2 Solving 64 + -64x + 7x2 = 46 + -91x + -2x2 Solving for variable 'x'. Reorder the terms: 64 + -46 + -64x + 91x + 7x2 + 2x2 = 46 + -91x + -2x2 + -46 + 91x + 2x2 Combine like terms: 64 + -46 = 18 18 + -64x + 91x + 7x2 + 2x2 = 46 + -91x + -2x2 + -46 + 91x + 2x2 Combine like terms: -64x + 91x = 27x 18 + 27x + 7x2 + 2x2 = 46 + -91x + -2x2 + -46 + 91x + 2x2 Combine like terms: 7x2 + 2x2 = 9x2 18 + 27x + 9x2 = 46 + -91x + -2x2 + -46 + 91x + 2x2 Reorder the terms: 18 + 27x + 9x2 = 46 + -46 + -91x + 91x + -2x2 + 2x2 Combine like terms: 46 + -46 = 0 18 + 27x + 9x2 = 0 + -91x + 91x + -2x2 + 2x2 18 + 27x + 9x2 = -91x + 91x + -2x2 + 2x2 Combine like terms: -91x + 91x = 0 18 + 27x + 9x2 = 0 + -2x2 + 2x2 18 + 27x + 9x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 18 + 27x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(2 + 3x + x2) = 0 Factor a trinomial. 9((2 + x)(1 + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-2, -1}
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