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Simplifying 60x2 + -107x + -77 = 0 Reorder the terms: -77 + -107x + 60x2 = 0 Solving -77 + -107x + 60x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -20x)(7 + -3x) = 0Subproblem 1
Set the factor '(-11 + -20x)' equal to zero and attempt to solve: Simplifying -11 + -20x = 0 Solving -11 + -20x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -20x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -20x = 0 + 11 -20x = 0 + 11 Combine like terms: 0 + 11 = 11 -20x = 11 Divide each side by '-20'. x = -0.55 Simplifying x = -0.55Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-0.55, 2.333333333}
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