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Simplifying 0 = 6x2 + 48x + 96 Reorder the terms: 0 = 96 + 48x + 6x2 Solving 0 = 96 + 48x + 6x2 Solving for variable 'x'. Combine like terms: 0 + -96 = -96 -96 + -48x + -6x2 = 96 + 48x + 6x2 + -96 + -48x + -6x2 Reorder the terms: -96 + -48x + -6x2 = 96 + -96 + 48x + -48x + 6x2 + -6x2 Combine like terms: 96 + -96 = 0 -96 + -48x + -6x2 = 0 + 48x + -48x + 6x2 + -6x2 -96 + -48x + -6x2 = 48x + -48x + 6x2 + -6x2 Combine like terms: 48x + -48x = 0 -96 + -48x + -6x2 = 0 + 6x2 + -6x2 -96 + -48x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -96 + -48x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '-6'. -6(16 + 8x + x2) = 0 Factor a trinomial. -6((4 + x)(4 + x)) = 0 Ignore the factor -6.Subproblem 1
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 = -4Subproblem 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 = {-4, -4}
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