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Simplifying (-2x + 4)(x + -11) = 0 Reorder the terms: (4 + -2x)(x + -11) = 0 Reorder the terms: (4 + -2x)(-11 + x) = 0 Multiply (4 + -2x) * (-11 + x) (4(-11 + x) + -2x * (-11 + x)) = 0 ((-11 * 4 + x * 4) + -2x * (-11 + x)) = 0 ((-44 + 4x) + -2x * (-11 + x)) = 0 (-44 + 4x + (-11 * -2x + x * -2x)) = 0 (-44 + 4x + (22x + -2x2)) = 0 Combine like terms: 4x + 22x = 26x (-44 + 26x + -2x2) = 0 Solving -44 + 26x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-22 + 13x + -1x2) = 0 Factor a trinomial. 2((-11 + x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 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 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {11, 2}
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