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Simplifying 0 = 3x2 + 24x + 48 Reorder the terms: 0 = 48 + 24x + 3x2 Solving 0 = 48 + 24x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + -24x + -3x2 = 48 + 24x + 3x2 + -48 + -24x + -3x2 Reorder the terms: -48 + -24x + -3x2 = 48 + -48 + 24x + -24x + 3x2 + -3x2 Combine like terms: 48 + -48 = 0 -48 + -24x + -3x2 = 0 + 24x + -24x + 3x2 + -3x2 -48 + -24x + -3x2 = 24x + -24x + 3x2 + -3x2 Combine like terms: 24x + -24x = 0 -48 + -24x + -3x2 = 0 + 3x2 + -3x2 -48 + -24x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 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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