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Simplifying 336 = -1x(-2x + -4) Reorder the terms: 336 = -1x(-4 + -2x) 336 = (-4 * -1x + -2x * -1x) 336 = (4x + 2x2) Solving 336 = 4x + 2x2 Solving for variable 'x'. Reorder the terms: 336 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 336 + -4x + -2x2 = 0 + 2x2 + -2x2 336 + -4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 336 + -4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(168 + -2x + -1x2) = 0 Factor a trinomial. 2((12 + -1x)(14 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {12, -14}
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