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Simplifying 3x2 = 3x + 6 Reorder the terms: 3x2 = 6 + 3x Solving 3x2 = 6 + 3x Solving for variable 'x'. Reorder the terms: -6 + -3x + 3x2 = 6 + 3x + -6 + -3x Reorder the terms: -6 + -3x + 3x2 = 6 + -6 + 3x + -3x Combine like terms: 6 + -6 = 0 -6 + -3x + 3x2 = 0 + 3x + -3x -6 + -3x + 3x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -1x + x2) = 0 Factor a trinomial. 3((-1 + -1x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -1Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1, 2}
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