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Simplifying (x + 10)(x + -2) = -11 Reorder the terms: (10 + x)(x + -2) = -11 Reorder the terms: (10 + x)(-2 + x) = -11 Multiply (10 + x) * (-2 + x) (10(-2 + x) + x(-2 + x)) = -11 ((-2 * 10 + x * 10) + x(-2 + x)) = -11 ((-20 + 10x) + x(-2 + x)) = -11 (-20 + 10x + (-2 * x + x * x)) = -11 (-20 + 10x + (-2x + x2)) = -11 Combine like terms: 10x + -2x = 8x (-20 + 8x + x2) = -11 Solving -20 + 8x + x2 = -11 Solving for variable 'x'. Reorder the terms: -20 + 11 + 8x + x2 = -11 + 11 Combine like terms: -20 + 11 = -9 -9 + 8x + x2 = -11 + 11 Combine like terms: -11 + 11 = 0 -9 + 8x + x2 = 0 Factor a trinomial. (-9 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-9, 1}
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