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