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Simplifying 26p2 + -8p = 2p Reorder the terms: -8p + 26p2 = 2p Solving -8p + 26p2 = 2p Solving for variable 'p'. Reorder the terms: -8p + -2p + 26p2 = 2p + -2p Combine like terms: -8p + -2p = -10p -10p + 26p2 = 2p + -2p Combine like terms: 2p + -2p = 0 -10p + 26p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(-5 + 13p) = 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 '(-5 + 13p)' equal to zero and attempt to solve: Simplifying -5 + 13p = 0 Solving -5 + 13p = 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 + 13p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 13p = 0 + 5 13p = 0 + 5 Combine like terms: 0 + 5 = 5 13p = 5 Divide each side by '13'. p = 0.3846153846 Simplifying p = 0.3846153846Solution
p = {0, 0.3846153846}
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