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Simplifying 12p2 + -15p = 0 Reorder the terms: -15p + 12p2 = 0 Solving -15p + 12p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-5 + 4p) = 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 '(-5 + 4p)' equal to zero and attempt to solve: Simplifying -5 + 4p = 0 Solving -5 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4p = 0 + 5 4p = 0 + 5 Combine like terms: 0 + 5 = 5 4p = 5 Divide each side by '4'. p = 1.25 Simplifying p = 1.25Solution
p = {0, 1.25}
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