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Simplifying -6x2 + 200x = 0 Reorder the terms: 200x + -6x2 = 0 Solving 200x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(100 + -3x) = 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 '(100 + -3x)' equal to zero and attempt to solve: Simplifying 100 + -3x = 0 Solving 100 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -3x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 0 + -100 -3x = 0 + -100 Combine like terms: 0 + -100 = -100 -3x = -100 Divide each side by '-3'. x = 33.33333333 Simplifying x = 33.33333333Solution
x = {0, 33.33333333}
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