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Simplifying 0 = 150x + -1x2 Solving 0 = 150x + -1x2 Solving for variable 'x'. Remove the zero: -150x + x2 = 150x + -1x2 + -150x + x2 Reorder the terms: -150x + x2 = 150x + -150x + -1x2 + x2 Combine like terms: 150x + -150x = 0 -150x + x2 = 0 + -1x2 + x2 -150x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -150x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-150 + x) = 0Subproblem 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 '(-150 + x)' equal to zero and attempt to solve: Simplifying -150 + x = 0 Solving -150 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + x = 0 + 150 Combine like terms: -150 + 150 = 0 0 + x = 0 + 150 x = 0 + 150 Combine like terms: 0 + 150 = 150 x = 150 Simplifying x = 150Solution
x = {0, 150}
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