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Simplifying 20x2 + 5x + -6x = 6x2 + -12x Reorder the terms: 5x + -6x + 20x2 = 6x2 + -12x Combine like terms: 5x + -6x = -1x -1x + 20x2 = 6x2 + -12x Reorder the terms: -1x + 20x2 = -12x + 6x2 Solving -1x + 20x2 = -12x + 6x2 Solving for variable 'x'. Reorder the terms: -1x + 12x + 20x2 + -6x2 = -12x + 6x2 + 12x + -6x2 Combine like terms: -1x + 12x = 11x 11x + 20x2 + -6x2 = -12x + 6x2 + 12x + -6x2 Combine like terms: 20x2 + -6x2 = 14x2 11x + 14x2 = -12x + 6x2 + 12x + -6x2 Reorder the terms: 11x + 14x2 = -12x + 12x + 6x2 + -6x2 Combine like terms: -12x + 12x = 0 11x + 14x2 = 0 + 6x2 + -6x2 11x + 14x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 11x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 14x) = 0Subproblem 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 '(11 + 14x)' equal to zero and attempt to solve: Simplifying 11 + 14x = 0 Solving 11 + 14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 0 + -11 14x = 0 + -11 Combine like terms: 0 + -11 = -11 14x = -11 Divide each side by '14'. x = -0.7857142857 Simplifying x = -0.7857142857Solution
x = {0, -0.7857142857}
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