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Simplifying 0 = -4x2 + 4x + 288 Reorder the terms: 0 = 288 + 4x + -4x2 Solving 0 = 288 + 4x + -4x2 Solving for variable 'x'. Combine like terms: 0 + -288 = -288 -288 + -4x + 4x2 = 288 + 4x + -4x2 + -288 + -4x + 4x2 Reorder the terms: -288 + -4x + 4x2 = 288 + -288 + 4x + -4x + -4x2 + 4x2 Combine like terms: 288 + -288 = 0 -288 + -4x + 4x2 = 0 + 4x + -4x + -4x2 + 4x2 -288 + -4x + 4x2 = 4x + -4x + -4x2 + 4x2 Combine like terms: 4x + -4x = 0 -288 + -4x + 4x2 = 0 + -4x2 + 4x2 -288 + -4x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -288 + -4x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-72 + -1x + x2) = 0 Factor a trinomial. 4((-8 + -1x)(9 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 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 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-8, 9}
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