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Simplifying 9p3 + -36p2 = 0 Reorder the terms: -36p2 + 9p3 = 0 Solving -36p2 + 9p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '9p2'. 9p2(-4 + p) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 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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