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Simplifying 3x2 = -9x + 54 Reorder the terms: 3x2 = 54 + -9x Solving 3x2 = 54 + -9x Solving for variable 'x'. Reorder the terms: -54 + 9x + 3x2 = 54 + -9x + -54 + 9x Reorder the terms: -54 + 9x + 3x2 = 54 + -54 + -9x + 9x Combine like terms: 54 + -54 = 0 -54 + 9x + 3x2 = 0 + -9x + 9x -54 + 9x + 3x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -54 + 9x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-18 + 3x + x2) = 0 Factor a trinomial. 3((-6 + -1x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-6, 3}
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