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Simplifying 84x2 + 181x + -90 = 0 Reorder the terms: -90 + 181x + 84x2 = 0 Solving -90 + 181x + 84x2 = 0 Solving for variable 'x'. Factor a trinomial. (-18 + -7x)(5 + -12x) = 0Subproblem 1
Set the factor '(-18 + -7x)' equal to zero and attempt to solve: Simplifying -18 + -7x = 0 Solving -18 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -7x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 0 + 18 -7x = 0 + 18 Combine like terms: 0 + 18 = 18 -7x = 18 Divide each side by '-7'. x = -2.571428571 Simplifying x = -2.571428571Subproblem 2
Set the factor '(5 + -12x)' equal to zero and attempt to solve: Simplifying 5 + -12x = 0 Solving 5 + -12x = 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 + -12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 0 + -5 -12x = 0 + -5 Combine like terms: 0 + -5 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667Solution
x = {-2.571428571, 0.4166666667}
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