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Simplifying 60x2 + 317x + -161 = 0 Reorder the terms: -161 + 317x + 60x2 = 0 Solving -161 + 317x + 60x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -4x)(7 + -15x) = 0Subproblem 1
Set the factor '(-23 + -4x)' equal to zero and attempt to solve: Simplifying -23 + -4x = 0 Solving -23 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -4x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = 0 + 23 -4x = 0 + 23 Combine like terms: 0 + 23 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75Subproblem 2
Set the factor '(7 + -15x)' equal to zero and attempt to solve: Simplifying 7 + -15x = 0 Solving 7 + -15x = 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 + -15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = 0 + -7 -15x = 0 + -7 Combine like terms: 0 + -7 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667Solution
x = {-5.75, 0.4666666667}
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