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Simplifying 0 = 750x + -50x2 Solving 0 = 750x + -50x2 Solving for variable 'x'. Remove the zero: -750x + 50x2 = 750x + -50x2 + -750x + 50x2 Reorder the terms: -750x + 50x2 = 750x + -750x + -50x2 + 50x2 Combine like terms: 750x + -750x = 0 -750x + 50x2 = 0 + -50x2 + 50x2 -750x + 50x2 = -50x2 + 50x2 Combine like terms: -50x2 + 50x2 = 0 -750x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '50x'. 50x(-15 + x) = 0 Ignore the factor 50.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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Solution
x = {0, 15}
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