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Simplifying -3x2 = 30x + 48 Reorder the terms: -3x2 = 48 + 30x Solving -3x2 = 48 + 30x Solving for variable 'x'. Reorder the terms: -48 + -30x + -3x2 = 48 + 30x + -48 + -30x Reorder the terms: -48 + -30x + -3x2 = 48 + -48 + 30x + -30x Combine like terms: 48 + -48 = 0 -48 + -30x + -3x2 = 0 + 30x + -30x -48 + -30x + -3x2 = 30x + -30x Combine like terms: 30x + -30x = 0 -48 + -30x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(16 + 10x + x2) = 0 Factor a trinomial. -3((8 + x)(2 + x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 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 = {-8, -2}
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