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Simplifying (-12 + 18x + 12x2) = 50x Remove parenthesis around (-12 + 18x + 12x2) -12 + 18x + 12x2 = 50x Solving -12 + 18x + 12x2 = 50x Solving for variable 'x'. Reorder the terms: -12 + 18x + -50x + 12x2 = 50x + -50x Combine like terms: 18x + -50x = -32x -12 + -32x + 12x2 = 50x + -50x Combine like terms: 50x + -50x = 0 -12 + -32x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -8x + 3x2) = 0 Factor a trinomial. 4((-1 + -3x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.3333333333, 3}
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