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Simplifying 0 = x(375 + -10x) 0 = (375 * x + -10x * x) 0 = (375x + -10x2) Solving 0 = 375x + -10x2 Solving for variable 'x'. Remove the zero: -375x + 10x2 = 375x + -10x2 + -375x + 10x2 Reorder the terms: -375x + 10x2 = 375x + -375x + -10x2 + 10x2 Combine like terms: 375x + -375x = 0 -375x + 10x2 = 0 + -10x2 + 10x2 -375x + 10x2 = -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 -375x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-75 + 2x) = 0 Ignore the factor 5.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 '(-75 + 2x)' equal to zero and attempt to solve: Simplifying -75 + 2x = 0 Solving -75 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 2x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 2x = 0 + 75 2x = 0 + 75 Combine like terms: 0 + 75 = 75 2x = 75 Divide each side by '2'. x = 37.5 Simplifying x = 37.5Solution
x = {0, 37.5}
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