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Simplifying 64p2 = 40p Solving 64p2 = 40p Solving for variable 'p'. Reorder the terms: -40p + 64p2 = 40p + -40p Combine like terms: 40p + -40p = 0 -40p + 64p2 = 0 Factor out the Greatest Common Factor (GCF), '8p'. 8p(-5 + 8p) = 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 '(-5 + 8p)' equal to zero and attempt to solve: Simplifying -5 + 8p = 0 Solving -5 + 8p = 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 + 8p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8p = 0 + 5 8p = 0 + 5 Combine like terms: 0 + 5 = 5 8p = 5 Divide each side by '8'. p = 0.625 Simplifying p = 0.625Solution
p = {0, 0.625}
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