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Simplifying 20p * 20p + -15p = 0 Reorder the terms for easier multiplication: 20 * 20p * p + -15p = 0 Multiply 20 * 20 400p * p + -15p = 0 Multiply p * p 400p2 + -15p = 0 Reorder the terms: -15p + 400p2 = 0 Solving -15p + 400p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-3 + 80p) = 0 Ignore the factor 5.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 + 80p)' equal to zero and attempt to solve: Simplifying -3 + 80p = 0 Solving -3 + 80p = 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 + 80p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 80p = 0 + 3 80p = 0 + 3 Combine like terms: 0 + 3 = 3 80p = 3 Divide each side by '80'. p = 0.0375 Simplifying p = 0.0375Solution
p = {0, 0.0375}
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