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Simplifying 4x2 + -76x + 165 = 0 Reorder the terms: 165 + -76x + 4x2 = 0 Solving 165 + -76x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(33 + -2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 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 = {2.5, 16.5}
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