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Simplifying 1512 + -156x + 4x2 = 775 Solving 1512 + -156x + 4x2 = 775 Solving for variable 'x'. Reorder the terms: 1512 + -775 + -156x + 4x2 = 775 + -775 Combine like terms: 1512 + -775 = 737 737 + -156x + 4x2 = 775 + -775 Combine like terms: 775 + -775 = 0 737 + -156x + 4x2 = 0 Factor a trinomial. (11 + -2x)(67 + -2x) = 0Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Subproblem 2
Set the factor '(67 + -2x)' equal to zero and attempt to solve: Simplifying 67 + -2x = 0 Solving 67 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + -2x = 0 + -67 Combine like terms: 67 + -67 = 0 0 + -2x = 0 + -67 -2x = 0 + -67 Combine like terms: 0 + -67 = -67 -2x = -67 Divide each side by '-2'. x = 33.5 Simplifying x = 33.5Solution
x = {5.5, 33.5}
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