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Simplifying -1(x + 8)(x + -5) = 0 Reorder the terms: -1(8 + x)(x + -5) = 0 Reorder the terms: -1(8 + x)(-5 + x) = 0 Multiply (8 + x) * (-5 + x) -1(8(-5 + x) + x(-5 + x)) = 0 -1((-5 * 8 + x * 8) + x(-5 + x)) = 0 -1((-40 + 8x) + x(-5 + x)) = 0 -1(-40 + 8x + (-5 * x + x * x)) = 0 -1(-40 + 8x + (-5x + x2)) = 0 Combine like terms: 8x + -5x = 3x -1(-40 + 3x + x2) = 0 (-40 * -1 + 3x * -1 + x2 * -1) = 0 (40 + -3x + -1x2) = 0 Solving 40 + -3x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(8 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {5, -8}
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