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Simplifying -32p2 + -24p = 0 Reorder the terms: -24p + -32p2 = 0 Solving -24p + -32p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-8p'. -8p(3 + 4p) = 0 Ignore the factor -8.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 '(3 + 4p)' equal to zero and attempt to solve: Simplifying 3 + 4p = 0 Solving 3 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 0 + -3 4p = 0 + -3 Combine like terms: 0 + -3 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75Solution
p = {0, -0.75}
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