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Simplifying x2 + 64x + -132 = 0 Reorder the terms: -132 + 64x + x2 = 0 Solving -132 + 64x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-66 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-66 + -1x)' equal to zero and attempt to solve: Simplifying -66 + -1x = 0 Solving -66 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -1x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -1x = 0 + 66 -1x = 0 + 66 Combine like terms: 0 + 66 = 66 -1x = 66 Divide each side by '-1'. x = -66 Simplifying x = -66Subproblem 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 = {-66, 2}
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