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Simplifying 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((-3 + -1x)(6 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -3Subproblem 2
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 = 6Solution
x = {-3, 6}
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