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Simplifying 3p * 3p = 6p(2 + p) Reorder the terms for easier multiplication: 3 * 3p * p = 6p(2 + p) Multiply 3 * 3 9p * p = 6p(2 + p) Multiply p * p 9p2 = 6p(2 + p) 9p2 = (2 * 6p + p * 6p) 9p2 = (12p + 6p2) Solving 9p2 = 12p + 6p2 Solving for variable 'p'. Reorder the terms: -12p + 9p2 + -6p2 = 12p + 6p2 + -12p + -6p2 Combine like terms: 9p2 + -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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