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Simplifying 5p2 = 8p Solving 5p2 = 8p Solving for variable 'p'. Reorder the terms: -8p + 5p2 = 8p + -8p Combine like terms: 8p + -8p = 0 -8p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-8 + 5p) = 0Subproblem 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 + 5p)' equal to zero and attempt to solve: Simplifying -8 + 5p = 0 Solving -8 + 5p = 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 + 5p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = 0 + 8 5p = 0 + 8 Combine like terms: 0 + 8 = 8 5p = 8 Divide each side by '5'. p = 1.6 Simplifying p = 1.6Solution
p = {0, 1.6}
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