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Simplifying (x + 2) * x * 5 = 315 Reorder the terms: (2 + x) * x * 5 = 315 Reorder the terms for easier multiplication: 5x(2 + x) = 315 (2 * 5x + x * 5x) = 315 (10x + 5x2) = 315 Solving 10x + 5x2 = 315 Solving for variable 'x'. Reorder the terms: -315 + 10x + 5x2 = 315 + -315 Combine like terms: 315 + -315 = 0 -315 + 10x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-63 + 2x + x2) = 0 Factor a trinomial. 5((-9 + -1x)(7 + -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 '(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 = 7Solution
x = {-9, 7}
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