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Simplifying (2x2 + -12) = (3x + -12) Reorder the terms: (-12 + 2x2) = (3x + -12) Remove parenthesis around (-12 + 2x2) -12 + 2x2 = (3x + -12) Reorder the terms: -12 + 2x2 = (-12 + 3x) Remove parenthesis around (-12 + 3x) -12 + 2x2 = -12 + 3x Add '12' to each side of the equation. -12 + 12 + 2x2 = -12 + 12 + 3x Combine like terms: -12 + 12 = 0 0 + 2x2 = -12 + 12 + 3x 2x2 = -12 + 12 + 3x Combine like terms: -12 + 12 = 0 2x2 = 0 + 3x 2x2 = 3x Solving 2x2 = 3x Solving for variable 'x'. Reorder the terms: -3x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -3x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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