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Simplifying 36x2 + 12x + -24 = 24 Reorder the terms: -24 + 12x + 36x2 = 24 Solving -24 + 12x + 36x2 = 24 Solving for variable 'x'. Reorder the terms: -24 + -24 + 12x + 36x2 = 24 + -24 Combine like terms: -24 + -24 = -48 -48 + 12x + 36x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -48 + 12x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-4 + x + 3x2) = 0 Factor a trinomial. 12((-4 + -3x)(1 + -1x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-1.333333333, 1}
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