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Simplifying p2 + 4 = 5p + 4 Reorder the terms: 4 + p2 = 5p + 4 Reorder the terms: 4 + p2 = 4 + 5p Add '-4' to each side of the equation. 4 + -4 + p2 = 4 + -4 + 5p Combine like terms: 4 + -4 = 0 0 + p2 = 4 + -4 + 5p p2 = 4 + -4 + 5p Combine like terms: 4 + -4 = 0 p2 = 0 + 5p p2 = 5p Solving p2 = 5p Solving for variable 'p'. Reorder the terms: -5p + p2 = 5p + -5p Combine like terms: 5p + -5p = 0 -5p + p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-5 + p) = 0Subproblem 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 '(-5 + p)' equal to zero and attempt to solve: Simplifying -5 + p = 0 Solving -5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + p = 0 + 5 p = 0 + 5 Combine like terms: 0 + 5 = 5 p = 5 Simplifying p = 5Solution
p = {0, 5}
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