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Simplifying 2(x + 11)(x + -1) = 0 Reorder the terms: 2(11 + x)(x + -1) = 0 Reorder the terms: 2(11 + x)(-1 + x) = 0 Multiply (11 + x) * (-1 + x) 2(11(-1 + x) + x(-1 + x)) = 0 2((-1 * 11 + x * 11) + x(-1 + x)) = 0 2((-11 + 11x) + x(-1 + x)) = 0 2(-11 + 11x + (-1 * x + x * x)) = 0 2(-11 + 11x + (-1x + x2)) = 0 Combine like terms: 11x + -1x = 10x 2(-11 + 10x + x2) = 0 (-11 * 2 + 10x * 2 + x2 * 2) = 0 (-22 + 20x + 2x2) = 0 Solving -22 + 20x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + 10x + x2) = 0 Factor a trinomial. 2((-11 + -1x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -11Subproblem 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 = {-11, 1}
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