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Simplifying 8p2 = -26p Solving 8p2 = -26p Solving for variable 'p'. Reorder the terms: 26p + 8p2 = -26p + 26p Combine like terms: -26p + 26p = 0 26p + 8p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(13 + 4p) = 0 Ignore the factor 2.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 '(13 + 4p)' equal to zero and attempt to solve: Simplifying 13 + 4p = 0 Solving 13 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4p = 0 + -13 4p = 0 + -13 Combine like terms: 0 + -13 = -13 4p = -13 Divide each side by '4'. p = -3.25 Simplifying p = -3.25Solution
p = {0, -3.25}
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