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Simplifying 4x2 + -49x + 136 = 0 Reorder the terms: 136 + -49x + 4x2 = 0 Solving 136 + -49x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + -4x)(8 + -1x) = 0Subproblem 1
Set the factor '(17 + -4x)' equal to zero and attempt to solve: Simplifying 17 + -4x = 0 Solving 17 + -4x = 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 + -4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 0 + -17 -4x = 0 + -17 Combine like terms: 0 + -17 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {4.25, 8}
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