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Simplifying 36x2 = 20 + 48x Solving 36x2 = 20 + 48x Solving for variable 'x'. Reorder the terms: -20 + -48x + 36x2 = 20 + 48x + -20 + -48x Reorder the terms: -20 + -48x + 36x2 = 20 + -20 + 48x + -48x Combine like terms: 20 + -20 = 0 -20 + -48x + 36x2 = 0 + 48x + -48x -20 + -48x + 36x2 = 48x + -48x Combine like terms: 48x + -48x = 0 -20 + -48x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -12x + 9x2) = 0 Factor a trinomial. 4((-1 + -3x)(5 + -3x)) = 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-0.3333333333, 1.666666667}
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