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Simplifying 3p(p + -8) = 0 Reorder the terms: 3p(-8 + p) = 0 (-8 * 3p + p * 3p) = 0 (-24p + 3p2) = 0 Solving -24p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-8 + 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 '(-8 + p)' equal to zero and attempt to solve: Simplifying -8 + p = 0 Solving -8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + p = 0 + 8 p = 0 + 8 Combine like terms: 0 + 8 = 8 p = 8 Simplifying p = 8Solution
p = {0, 8}
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