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Simplifying 2P2 + -20P + 32 = 0 Reorder the terms: 32 + -20P + 2P2 = 0 Solving 32 + -20P + 2P2 = 0 Solving for variable 'P'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -10P + P2) = 0 Factor a trinomial. 2((2 + -1P)(8 + -1P)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1P)' equal to zero and attempt to solve: Simplifying 2 + -1P = 0 Solving 2 + -1P = 0 Move all terms containing P to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1P = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1P = 0 + -2 -1P = 0 + -2 Combine like terms: 0 + -2 = -2 -1P = -2 Divide each side by '-1'. P = 2 Simplifying P = 2Subproblem 2
Set the factor '(8 + -1P)' equal to zero and attempt to solve: Simplifying 8 + -1P = 0 Solving 8 + -1P = 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 + -1P = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1P = 0 + -8 -1P = 0 + -8 Combine like terms: 0 + -8 = -8 -1P = -8 Divide each side by '-1'. P = 8 Simplifying P = 8Solution
P = {2, 8}
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