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Simplifying (x + -8)(x + -5) = 0 Reorder the terms: (-8 + x)(x + -5) = 0 Reorder the terms: (-8 + x)(-5 + x) = 0 Multiply (-8 + x) * (-5 + x) (-8(-5 + x) + x(-5 + x)) = 0 ((-5 * -8 + x * -8) + x(-5 + x)) = 0 ((40 + -8x) + x(-5 + x)) = 0 (40 + -8x + (-5 * x + x * x)) = 0 (40 + -8x + (-5x + x2)) = 0 Combine like terms: -8x + -5x = -13x (40 + -13x + x2) = 0 Solving 40 + -13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {5, 8}
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