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Simplifying 3p * p = 6p(2 + p) Multiply p * p 3p2 = 6p(2 + p) 3p2 = (2 * 6p + p * 6p) 3p2 = (12p + 6p2) Solving 3p2 = 12p + 6p2 Solving for variable 'p'. Reorder the terms: -12p + 3p2 + -6p2 = 12p + 6p2 + -12p + -6p2 Combine like terms: 3p2 + -6p2 = -3p2 -12p + -3p2 = 12p + 6p2 + -12p + -6p2 Reorder the terms: -12p + -3p2 = 12p + -12p + 6p2 + -6p2 Combine like terms: 12p + -12p = 0 -12p + -3p2 = 0 + 6p2 + -6p2 -12p + -3p2 = 6p2 + -6p2 Combine like terms: 6p2 + -6p2 = 0 -12p + -3p2 = 0 Factor out the Greatest Common Factor (GCF), '-3p'. -3p(4 + p) = 0 Ignore the factor -3.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 '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {0, -4}
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