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Simplifying 12 + -3x2 + -48 = 24x + 12 Reorder the terms: 12 + -48 + -3x2 = 24x + 12 Combine like terms: 12 + -48 = -36 -36 + -3x2 = 24x + 12 Reorder the terms: -36 + -3x2 = 12 + 24x Solving -36 + -3x2 = 12 + 24x Solving for variable 'x'. Reorder the terms: -36 + -12 + -24x + -3x2 = 12 + 24x + -12 + -24x Combine like terms: -36 + -12 = -48 -48 + -24x + -3x2 = 12 + 24x + -12 + -24x Reorder the terms: -48 + -24x + -3x2 = 12 + -12 + 24x + -24x Combine like terms: 12 + -12 = 0 -48 + -24x + -3x2 = 0 + 24x + -24x -48 + -24x + -3x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -48 + -24x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(16 + 8x + x2) = 0 Factor a trinomial. -3((4 + x)(4 + x)) = 0 Ignore the factor -3.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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