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Simplifying 176 = x(2x + -6) Reorder the terms: 176 = x(-6 + 2x) 176 = (-6 * x + 2x * x) 176 = (-6x + 2x2) Solving 176 = -6x + 2x2 Solving for variable 'x'. Reorder the terms: 176 + 6x + -2x2 = -6x + 6x + 2x2 + -2x2 Combine like terms: -6x + 6x = 0 176 + 6x + -2x2 = 0 + 2x2 + -2x2 176 + 6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 176 + 6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(88 + 3x + -1x2) = 0 Factor a trinomial. 2((11 + -1x)(8 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {11, -8}
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