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Simplifying x(20x + 31x + 12) = 0 Reorder the terms: x(12 + 20x + 31x) = 0 Combine like terms: 20x + 31x = 51x x(12 + 51x) = 0 (12 * x + 51x * x) = 0 (12x + 51x2) = 0 Solving 12x + 51x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(4 + 17x) = 0 Ignore the factor 3.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 + 17x)' equal to zero and attempt to solve: Simplifying 4 + 17x = 0 Solving 4 + 17x = 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 + 17x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 0 + -4 17x = 0 + -4 Combine like terms: 0 + -4 = -4 17x = -4 Divide each side by '17'. x = -0.2352941176 Simplifying x = -0.2352941176Solution
x = {0, -0.2352941176}
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