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Simplifying 25Px(100 + -5P) = 360 (100 * 25xP + -5P * 25xP) = 360 (2500xP + -125xP2) = 360 Solving 2500xP + -125xP2 = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -360 + 2500xP + -125xP2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + 2500xP + -125xP2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-72 + 500xP + -25xP2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-72 + 500xP + -25xP2)' equal to zero and attempt to solve: Simplifying -72 + 500xP + -25xP2 = 0 Solving -72 + 500xP + -25xP2 = 0 Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 500xP + 72 + -25xP2 = 0 + 72 Reorder the terms: -72 + 72 + 500xP + -25xP2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 500xP + -25xP2 = 0 + 72 500xP + -25xP2 = 0 + 72 Combine like terms: 0 + 72 = 72 500xP + -25xP2 = 72 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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