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Simplifying x(x + 8) + -7(x + 8) = 0 Reorder the terms: x(8 + x) + -7(x + 8) = 0 (8 * x + x * x) + -7(x + 8) = 0 (8x + x2) + -7(x + 8) = 0 Reorder the terms: 8x + x2 + -7(8 + x) = 0 8x + x2 + (8 * -7 + x * -7) = 0 8x + x2 + (-56 + -7x) = 0 Reorder the terms: -56 + 8x + -7x + x2 = 0 Combine like terms: 8x + -7x = 1x -56 + 1x + x2 = 0 Solving -56 + 1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(7 + -1x) = 0Subproblem 1
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 = -8Subproblem 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 = {-8, 7}
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