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Simplifying -12x2 + 50x = 0 Reorder the terms: 50x + -12x2 = 0 Solving 50x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(25 + -6x) = 0 Ignore the factor 2.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 '(25 + -6x)' equal to zero and attempt to solve: Simplifying 25 + -6x = 0 Solving 25 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 0 + -25 -6x = 0 + -25 Combine like terms: 0 + -25 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667Solution
x = {0, 4.166666667}
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