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Simplifying 64 + -8P + -2P2 = 0 Solving 64 + -8P + -2P2 = 0 Solving for variable 'P'. Factor out the Greatest Common Factor (GCF), '2'. 2(32 + -4P + -1P2) = 0 Factor a trinomial. 2((4 + -1P)(8 + P)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1P)' equal to zero and attempt to solve: Simplifying 4 + -1P = 0 Solving 4 + -1P = 0 Move all terms containing P to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1P = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1P = 0 + -4 -1P = 0 + -4 Combine like terms: 0 + -4 = -4 -1P = -4 Divide each side by '-1'. P = 4 Simplifying P = 4Subproblem 2
Set the factor '(8 + P)' equal to zero and attempt to solve: Simplifying 8 + P = 0 Solving 8 + P = 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 + P = 0 + -8 Combine like terms: 8 + -8 = 0 0 + P = 0 + -8 P = 0 + -8 Combine like terms: 0 + -8 = -8 P = -8 Simplifying P = -8Solution
P = {4, -8}
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