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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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