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Simplifying 12x2 + -18x = 12x + -8x2 Reorder the terms: -18x + 12x2 = 12x + -8x2 Solving -18x + 12x2 = 12x + -8x2 Solving for variable 'x'. Reorder the terms: -18x + -12x + 12x2 + 8x2 = 12x + -8x2 + -12x + 8x2 Combine like terms: -18x + -12x = -30x -30x + 12x2 + 8x2 = 12x + -8x2 + -12x + 8x2 Combine like terms: 12x2 + 8x2 = 20x2 -30x + 20x2 = 12x + -8x2 + -12x + 8x2 Reorder the terms: -30x + 20x2 = 12x + -12x + -8x2 + 8x2 Combine like terms: 12x + -12x = 0 -30x + 20x2 = 0 + -8x2 + 8x2 -30x + 20x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -30x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-3 + 2x) = 0 Ignore the factor 10.Subproblem 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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