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Simplifying 36x2 + -24 = 96x + -39 Reorder the terms: -24 + 36x2 = 96x + -39 Reorder the terms: -24 + 36x2 = -39 + 96x Solving -24 + 36x2 = -39 + 96x Solving for variable 'x'. Reorder the terms: -24 + 39 + -96x + 36x2 = -39 + 96x + 39 + -96x Combine like terms: -24 + 39 = 15 15 + -96x + 36x2 = -39 + 96x + 39 + -96x Reorder the terms: 15 + -96x + 36x2 = -39 + 39 + 96x + -96x Combine like terms: -39 + 39 = 0 15 + -96x + 36x2 = 0 + 96x + -96x 15 + -96x + 36x2 = 96x + -96x Combine like terms: 96x + -96x = 0 15 + -96x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -32x + 12x2) = 0 Factor a trinomial. 3((1 + -6x)(5 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0.1666666667, 2.5}
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