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Simplifying 2P4 = 30P2 Solving 2P4 = 30P2 Solving for variable 'P'. Reorder the terms: -30P2 + 2P4 = 30P2 + -30P2 Combine like terms: 30P2 + -30P2 = 0 -30P2 + 2P4 = 0 Factor out the Greatest Common Factor (GCF), '2P2'. 2P2(-15 + P2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'P2' equal to zero and attempt to solve: Simplifying P2 = 0 Solving P2 = 0 Move all terms containing P to the left, all other terms to the right. Simplifying P2 = 0 Take the square root of each side: P = {0}Subproblem 2
Set the factor '(-15 + P2)' equal to zero and attempt to solve: Simplifying -15 + P2 = 0 Solving -15 + P2 = 0 Move all terms containing P to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + P2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + P2 = 0 + 15 P2 = 0 + 15 Combine like terms: 0 + 15 = 15 P2 = 15 Simplifying P2 = 15 Take the square root of each side: P = {-3.872983346, 3.872983346}Solution
P = {0, -3.872983346, 3.872983346}
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