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Simplifying 12x2 + 19x = 2x2 + -1x Reorder the terms: 19x + 12x2 = 2x2 + -1x Reorder the terms: 19x + 12x2 = -1x + 2x2 Solving 19x + 12x2 = -1x + 2x2 Solving for variable 'x'. Reorder the terms: 19x + x + 12x2 + -2x2 = -1x + 2x2 + x + -2x2 Combine like terms: 19x + x = 20x 20x + 12x2 + -2x2 = -1x + 2x2 + x + -2x2 Combine like terms: 12x2 + -2x2 = 10x2 20x + 10x2 = -1x + 2x2 + x + -2x2 Reorder the terms: 20x + 10x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 20x + 10x2 = 0 + 2x2 + -2x2 20x + 10x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 20x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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