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Simplifying 60x2 + -112x + -135 = 0 Reorder the terms: -135 + -112x + 60x2 = 0 Solving -135 + -112x + 60x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -6x)(27 + -10x) = 0Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(27 + -10x)' equal to zero and attempt to solve: Simplifying 27 + -10x = 0 Solving 27 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -10x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = 0 + -27 -10x = 0 + -27 Combine like terms: 0 + -27 = -27 -10x = -27 Divide each side by '-10'. x = 2.7 Simplifying x = 2.7Solution
x = {-0.8333333333, 2.7}
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