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Simplifying -12x2 + 13x = 5x Reorder the terms: 13x + -12x2 = 5x Solving 13x + -12x2 = 5x Solving for variable 'x'. Reorder the terms: 13x + -5x + -12x2 = 5x + -5x Combine like terms: 13x + -5x = 8x 8x + -12x2 = 5x + -5x Combine like terms: 5x + -5x = 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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