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Simplifying 2x * x + -32x = -110 Multiply x * x 2x2 + -32x = -110 Reorder the terms: -32x + 2x2 = -110 Solving -32x + 2x2 = -110 Solving for variable 'x'. Reorder the terms: 110 + -32x + 2x2 = -110 + 110 Combine like terms: -110 + 110 = 0 110 + -32x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(55 + -16x + x2) = 0 Factor a trinomial. 2((5 + -1x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, 11}
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