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Simplifying (3x)(3x + 3) = 270 Remove parenthesis around (3x) 3x(3x + 3) = 270 Reorder the terms: 3x(3 + 3x) = 270 (3 * 3x + 3x * 3x) = 270 (9x + 9x2) = 270 Solving 9x + 9x2 = 270 Solving for variable 'x'. Reorder the terms: -270 + 9x + 9x2 = 270 + -270 Combine like terms: 270 + -270 = 0 -270 + 9x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-30 + x + x2) = 0 Factor a trinomial. 9((-6 + -1x)(5 + -1x)) = 0 Ignore the factor 9.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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-6, 5}
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