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Simplifying 84x2 + 323x + 120 = 0 Reorder the terms: 120 + 323x + 84x2 = 0 Solving 120 + 323x + 84x2 = 0 Solving for variable 'x'. Factor a trinomial. (24 + 7x)(5 + 12x) = 0Subproblem 1
Set the factor '(24 + 7x)' equal to zero and attempt to solve: Simplifying 24 + 7x = 0 Solving 24 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 0 + -24 7x = 0 + -24 Combine like terms: 0 + -24 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429Subproblem 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 = {-3.428571429, -0.4166666667}
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