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Simplifying 286 = -1x(-2x + -4) Reorder the terms: 286 = -1x(-4 + -2x) 286 = (-4 * -1x + -2x * -1x) 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((11 + -1x)(13 + 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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 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 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {11, -13}
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