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Simplifying 286 = x(2x + -4) Reorder the terms: 286 = x(-4 + 2x) 286 = (-4 * x + 2x * x) 286 = (-4x + 2x2) Solving 286 = -4x + 2x2 Solving for variable 'x'. Reorder the terms: 286 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 286 + 4x + -2x2 = 0 + 2x2 + -2x2 286 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 286 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(143 + 2x + -1x2) = 0 Factor a trinomial. 2((13 + -1x)(11 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {13, -11}
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