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Simplifying 40x2 + -138x + 119 = 0 Reorder the terms: 119 + -138x + 40x2 = 0 Solving 119 + -138x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + -10x)(7 + -4x) = 0Subproblem 1
Set the factor '(17 + -10x)' equal to zero and attempt to solve: Simplifying 17 + -10x = 0 Solving 17 + -10x = 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 + -10x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = 0 + -17 -10x = 0 + -17 Combine like terms: 0 + -17 = -17 -10x = -17 Divide each side by '-10'. x = 1.7 Simplifying x = 1.7Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {1.7, 1.75}
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