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Simplifying 495 = (x + 2)(x)(5) Reorder the terms: 495 = (2 + x)(x)(5) Reorder the terms for easier multiplication: 495 = 5x(2 + x) 495 = (2 * 5x + x * 5x) 495 = (10x + 5x2) Solving 495 = 10x + 5x2 Solving for variable 'x'. Reorder the terms: 495 + -10x + -5x2 = 10x + -10x + 5x2 + -5x2 Combine like terms: 10x + -10x = 0 495 + -10x + -5x2 = 0 + 5x2 + -5x2 495 + -10x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 495 + -10x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(99 + -2x + -1x2) = 0 Factor a trinomial. 5((9 + -1x)(11 + x)) = 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {9, -11}
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