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Simplifying 8p2 + -53p + -56p = 0 Reorder the terms: -53p + -56p + 8p2 = 0 Combine like terms: -53p + -56p = -109p -109p + 8p2 = 0 Solving -109p + 8p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-109 + 8p) = 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 '(-109 + 8p)' equal to zero and attempt to solve: Simplifying -109 + 8p = 0 Solving -109 + 8p = 0 Move all terms containing p to the left, all other terms to the right. Add '109' to each side of the equation. -109 + 109 + 8p = 0 + 109 Combine like terms: -109 + 109 = 0 0 + 8p = 0 + 109 8p = 0 + 109 Combine like terms: 0 + 109 = 109 8p = 109 Divide each side by '8'. p = 13.625 Simplifying p = 13.625Solution
p = {0, 13.625}
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