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Simplifying 3x2 + -20x2 + 12x = 0 Reorder the terms: 12x + 3x2 + -20x2 = 0 Combine like terms: 3x2 + -20x2 = -17x2 12x + -17x2 = 0 Solving 12x + -17x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(12 + -17x) = 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 '(12 + -17x)' equal to zero and attempt to solve: Simplifying 12 + -17x = 0 Solving 12 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -17x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -17x = 0 + -12 -17x = 0 + -12 Combine like terms: 0 + -12 = -12 -17x = -12 Divide each side by '-17'. x = 0.7058823529 Simplifying x = 0.7058823529Solution
x = {0, 0.7058823529}
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