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Simplifying 2x2 + -41x + 132 = 0 Reorder the terms: 132 + -41x + 2x2 = 0 Solving 132 + -41x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(33 + -2x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(33 + -2x)' equal to zero and attempt to solve: Simplifying 33 + -2x = 0 Solving 33 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -2x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -2x = 0 + -33 -2x = 0 + -33 Combine like terms: 0 + -33 = -33 -2x = -33 Divide each side by '-2'. x = 16.5 Simplifying x = 16.5Solution
x = {4, 16.5}
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