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Simplifying 8x2 + -134x + 561 = 0 Reorder the terms: 561 + -134x + 8x2 = 0 Solving 561 + -134x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (33 + -4x)(17 + -2x) = 0Subproblem 1
Set the factor '(33 + -4x)' equal to zero and attempt to solve: Simplifying 33 + -4x = 0 Solving 33 + -4x = 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 + -4x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -4x = 0 + -33 -4x = 0 + -33 Combine like terms: 0 + -33 = -33 -4x = -33 Divide each side by '-4'. x = 8.25 Simplifying x = 8.25Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5Solution
x = {8.25, 8.5}
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