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Simplifying 4x2 + 16x + 16 = 144 Reorder the terms: 16 + 16x + 4x2 = 144 Solving 16 + 16x + 4x2 = 144 Solving for variable 'x'. Reorder the terms: 16 + -144 + 16x + 4x2 = 144 + -144 Combine like terms: 16 + -144 = -128 -128 + 16x + 4x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -128 + 16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-32 + 4x + x2) = 0 Factor a trinomial. 4((-8 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-8, 4}
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