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Simplifying 20x2 + 12x = x Reorder the terms: 12x + 20x2 = x Solving 12x + 20x2 = x Solving for variable 'x'. Reorder the terms: 12x + -1x + 20x2 = x + -1x Combine like terms: 12x + -1x = 11x 11x + 20x2 = x + -1x Combine like terms: x + -1x = 0 11x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 20x) = 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 + 20x)' equal to zero and attempt to solve: Simplifying 11 + 20x = 0 Solving 11 + 20x = 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 + 20x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 20x = 0 + -11 20x = 0 + -11 Combine like terms: 0 + -11 = -11 20x = -11 Divide each side by '20'. x = -0.55 Simplifying x = -0.55Solution
x = {0, -0.55}
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