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Simplifying 36x2 = 6(x + 2) Reorder the terms: 36x2 = 6(2 + x) 36x2 = (2 * 6 + x * 6) 36x2 = (12 + 6x) Solving 36x2 = 12 + 6x Solving for variable 'x'. Reorder the terms: -12 + -6x + 36x2 = 12 + 6x + -12 + -6x Reorder the terms: -12 + -6x + 36x2 = 12 + -12 + 6x + -6x Combine like terms: 12 + -12 = 0 -12 + -6x + 36x2 = 0 + 6x + -6x -12 + -6x + 36x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -6x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -1x + 6x2) = 0 Factor a trinomial. 6((-1 + -2x)(2 + -3x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.5, 0.6666666667}
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