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Simplifying 17x2 + -138x + 261 = 0 Reorder the terms: 261 + -138x + 17x2 = 0 Solving 261 + -138x + 17x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(87 + -17x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(87 + -17x)' equal to zero and attempt to solve: Simplifying 87 + -17x = 0 Solving 87 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + -17x = 0 + -87 Combine like terms: 87 + -87 = 0 0 + -17x = 0 + -87 -17x = 0 + -87 Combine like terms: 0 + -87 = -87 -17x = -87 Divide each side by '-17'. x = 5.117647059 Simplifying x = 5.117647059Solution
x = {3, 5.117647059}
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