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Simplifying 0 = -10p2 + 80p Reorder the terms: 0 = 80p + -10p2 Solving 0 = 80p + -10p2 Solving for variable 'p'. Remove the zero: -80p + 10p2 = 80p + -10p2 + -80p + 10p2 Reorder the terms: -80p + 10p2 = 80p + -80p + -10p2 + 10p2 Combine like terms: 80p + -80p = 0 -80p + 10p2 = 0 + -10p2 + 10p2 -80p + 10p2 = -10p2 + 10p2 Combine like terms: -10p2 + 10p2 = 0 -80p + 10p2 = 0 Factor out the Greatest Common Factor (GCF), '10p'. 10p(-8 + p) = 0 Ignore the factor 10.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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