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Simplifying 12x2 + 2x = x + 19x Reorder the terms: 2x + 12x2 = x + 19x Combine like terms: x + 19x = 20x 2x + 12x2 = 20x Solving 2x + 12x2 = 20x Solving for variable 'x'. Reorder the terms: 2x + -20x + 12x2 = 20x + -20x Combine like terms: 2x + -20x = -18x -18x + 12x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -18x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-3 + 2x) = 0 Ignore the factor 6.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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