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Simplifying 0 = 5p(p + 2) Reorder the terms: 0 = 5p(2 + p) 0 = (2 * 5p + p * 5p) 0 = (10p + 5p2) Solving 0 = 10p + 5p2 Solving for variable 'p'. Remove the zero: -10p + -5p2 = 10p + 5p2 + -10p + -5p2 Reorder the terms: -10p + -5p2 = 10p + -10p + 5p2 + -5p2 Combine like terms: 10p + -10p = 0 -10p + -5p2 = 0 + 5p2 + -5p2 -10p + -5p2 = 5p2 + -5p2 Combine like terms: 5p2 + -5p2 = 0 -10p + -5p2 = 0 Factor out the Greatest Common Factor (GCF), '-5p'. -5p(2 + 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 '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {0, -2}
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