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Simplifying 12x2 + -5x = 15x + -13x2 Reorder the terms: -5x + 12x2 = 15x + -13x2 Solving -5x + 12x2 = 15x + -13x2 Solving for variable 'x'. Reorder the terms: -5x + -15x + 12x2 + 13x2 = 15x + -13x2 + -15x + 13x2 Combine like terms: -5x + -15x = -20x -20x + 12x2 + 13x2 = 15x + -13x2 + -15x + 13x2 Combine like terms: 12x2 + 13x2 = 25x2 -20x + 25x2 = 15x + -13x2 + -15x + 13x2 Reorder the terms: -20x + 25x2 = 15x + -15x + -13x2 + 13x2 Combine like terms: 15x + -15x = 0 -20x + 25x2 = 0 + -13x2 + 13x2 -20x + 25x2 = -13x2 + 13x2 Combine like terms: -13x2 + 13x2 = 0 -20x + 25x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-4 + 5x) = 0 Ignore the factor 5.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 '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8Solution
x = {0, 0.8}
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