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Simplifying 315 = (x + 2)(x) * 5 Reorder the terms: 315 = (2 + x)(x) * 5 Reorder the terms for easier multiplication: 315 = 5x(2 + x) 315 = (2 * 5x + x * 5x) 315 = (10x + 5x2) Solving 315 = 10x + 5x2 Solving for variable 'x'. Reorder the terms: 315 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2 Combine like terms: 10x + -10x = 0 315 + -10x + -5x2 = 0 + 5x2 + -5x2 315 + -10x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 315 + -10x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(63 + -2x + -1x2) = 0 Factor a trinomial. 5((7 + -1x)(9 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {7, -9}
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