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Simplifying 4x(2x + -4) = 90 Reorder the terms: 4x(-4 + 2x) = 90 (-4 * 4x + 2x * 4x) = 90 (-16x + 8x2) = 90 Solving -16x + 8x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + -16x + 8x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -16x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + -8x + 4x2) = 0 Factor a trinomial. 2((-5 + -2x)(9 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-2.5, 4.5}
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