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Simplifying 0 = -5x2 + 150x Reorder the terms: 0 = 150x + -5x2 Solving 0 = 150x + -5x2 Solving for variable 'x'. Remove the zero: -150x + 5x2 = 150x + -5x2 + -150x + 5x2 Reorder the terms: -150x + 5x2 = 150x + -150x + -5x2 + 5x2 Combine like terms: 150x + -150x = 0 -150x + 5x2 = 0 + -5x2 + 5x2 -150x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -150x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-30 + x) = 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 '(-30 + x)' equal to zero and attempt to solve: Simplifying -30 + x = 0 Solving -30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x = 0 + 30 x = 0 + 30 Combine like terms: 0 + 30 = 30 x = 30 Simplifying x = 30Solution
x = {0, 30}
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