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Simplifying 2x2 + -13x2 + 20x = 0 Reorder the terms: 20x + 2x2 + -13x2 = 0 Combine like terms: 2x2 + -13x2 = -11x2 20x + -11x2 = 0 Solving 20x + -11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(20 + -11x) = 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 '(20 + -11x)' equal to zero and attempt to solve: Simplifying 20 + -11x = 0 Solving 20 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -11x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = 0 + -20 -11x = 0 + -20 Combine like terms: 0 + -20 = -20 -11x = -20 Divide each side by '-11'. x = 1.818181818 Simplifying x = 1.818181818Solution
x = {0, 1.818181818}
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