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Simplifying (x + 8)(x + -11) = 0 Reorder the terms: (8 + x)(x + -11) = 0 Reorder the terms: (8 + x)(-11 + x) = 0 Multiply (8 + x) * (-11 + x) (8(-11 + x) + x(-11 + x)) = 0 ((-11 * 8 + x * 8) + x(-11 + x)) = 0 ((-88 + 8x) + x(-11 + x)) = 0 (-88 + 8x + (-11 * x + x * x)) = 0 (-88 + 8x + (-11x + x2)) = 0 Combine like terms: 8x + -11x = -3x (-88 + -3x + x2) = 0 Solving -88 + -3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-8, 11}
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