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Simplifying 12x2 + -5x = 3x Reorder the terms: -5x + 12x2 = 3x Solving -5x + 12x2 = 3x Solving for variable 'x'. Reorder the terms: -5x + -3x + 12x2 = 3x + -3x Combine like terms: -5x + -3x = -8x -8x + 12x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -8x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-2 + 3x) = 0 Ignore the factor 4.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 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 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 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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