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Simplifying -3x2 + -54x = 135 Reorder the terms: -54x + -3x2 = 135 Solving -54x + -3x2 = 135 Solving for variable 'x'. Reorder the terms: -135 + -54x + -3x2 = 135 + -135 Combine like terms: 135 + -135 = 0 -135 + -54x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(45 + 18x + x2) = 0 Factor a trinomial. -3((15 + x)(3 + x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-15, -3}
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