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Simplifying x(5x + 15) = 270 Reorder the terms: x(15 + 5x) = 270 (15 * x + 5x * x) = 270 (15x + 5x2) = 270 Solving 15x + 5x2 = 270 Solving for variable 'x'. Reorder the terms: -270 + 15x + 5x2 = 270 + -270 Combine like terms: 270 + -270 = 0 -270 + 15x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-54 + 3x + x2) = 0 Factor a trinomial. 5((-9 + -1x)(6 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 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 = {-9, 6}
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