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Simplifying (x + -8)(x + 7) = -56 Reorder the terms: (-8 + x)(x + 7) = -56 Reorder the terms: (-8 + x)(7 + x) = -56 Multiply (-8 + x) * (7 + x) (-8(7 + x) + x(7 + x)) = -56 ((7 * -8 + x * -8) + x(7 + x)) = -56 ((-56 + -8x) + x(7 + x)) = -56 (-56 + -8x + (7 * x + x * x)) = -56 (-56 + -8x + (7x + x2)) = -56 Combine like terms: -8x + 7x = -1x (-56 + -1x + x2) = -56 Add '56' to each side of the equation. -56 + -1x + 56 + x2 = -56 + 56 Reorder the terms: -56 + 56 + -1x + x2 = -56 + 56 Combine like terms: -56 + 56 = 0 0 + -1x + x2 = -56 + 56 -1x + x2 = -56 + 56 Combine like terms: -56 + 56 = 0 -1x + x2 = 0 Solving -1x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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