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Simplifying -1x2 = 48 + 16x Solving -1x2 = 48 + 16x Solving for variable 'x'. Reorder the terms: -48 + -16x + -1x2 = 48 + 16x + -48 + -16x Reorder the terms: -48 + -16x + -1x2 = 48 + -48 + 16x + -16x Combine like terms: 48 + -48 = 0 -48 + -16x + -1x2 = 0 + 16x + -16x -48 + -16x + -1x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -48 + -16x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(48 + 16x + x2) = 0 Factor a trinomial. -1((12 + x)(4 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-12, -4}
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