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Simplifying 80p2 + -376p = 0 Reorder the terms: -376p + 80p2 = 0 Solving -376p + 80p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8p'. 8p(-47 + 10p) = 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 '(-47 + 10p)' equal to zero and attempt to solve: Simplifying -47 + 10p = 0 Solving -47 + 10p = 0 Move all terms containing p to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 10p = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 10p = 0 + 47 10p = 0 + 47 Combine like terms: 0 + 47 = 47 10p = 47 Divide each side by '10'. p = 4.7 Simplifying p = 4.7Solution
p = {0, 4.7}
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