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Simplifying 2p2 = -50p Solving 2p2 = -50p Solving for variable 'p'. Reorder the terms: 50p + 2p2 = -50p + 50p Combine like terms: -50p + 50p = 0 50p + 2p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(25 + p) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(25 + p)' equal to zero and attempt to solve: Simplifying 25 + p = 0 Solving 25 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + p = 0 + -25 Combine like terms: 25 + -25 = 0 0 + p = 0 + -25 p = 0 + -25 Combine like terms: 0 + -25 = -25 p = -25 Simplifying p = -25Solution
p = {0, -25}
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