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Simplifying 5p2 = 15p Solving 5p2 = 15p Solving for variable 'p'. Reorder the terms: -15p + 5p2 = 15p + -15p Combine like terms: 15p + -15p = 0 -15p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5p'. 5p(-3 + p) = 0 Ignore the factor 5.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 '(-3 + p)' equal to zero and attempt to solve: Simplifying -3 + p = 0 Solving -3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + p = 0 + 3 p = 0 + 3 Combine like terms: 0 + 3 = 3 p = 3 Simplifying p = 3Solution
p = {0, 3}
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