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Simplifying 455 = (13)(x + -2)(x) Reorder the terms: 455 = 13(-2 + x)(x) Reorder the terms for easier multiplication: 455 = 13x(-2 + x) 455 = (-2 * 13x + x * 13x) 455 = (-26x + 13x2) Solving 455 = -26x + 13x2 Solving for variable 'x'. Reorder the terms: 455 + 26x + -13x2 = -26x + 26x + 13x2 + -13x2 Combine like terms: -26x + 26x = 0 455 + 26x + -13x2 = 0 + 13x2 + -13x2 455 + 26x + -13x2 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 455 + 26x + -13x2 = 0 Factor out the Greatest Common Factor (GCF), '13'. 13(35 + 2x + -1x2) = 0 Factor a trinomial. 13((7 + -1x)(5 + x)) = 0 Ignore the factor 13.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {7, -5}
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