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Simplifying -12p3 = -30p Solving -12p3 = -30p Solving for variable 'p'. Reorder the terms: 30p + -12p3 = -30p + 30p Combine like terms: -30p + 30p = 0 30p + -12p3 = 0 Factor out the Greatest Common Factor (GCF), '6p'. 6p(5 + -2p2) = 0 Ignore the factor 6.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 + -2p2)' equal to zero and attempt to solve: Simplifying 5 + -2p2 = 0 Solving 5 + -2p2 = 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 + -2p2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2p2 = 0 + -5 -2p2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2p2 = -5 Divide each side by '-2'. p2 = 2.5 Simplifying p2 = 2.5 Take the square root of each side: p = {-1.58113883, 1.58113883}Solution
p = {0, -1.58113883, 1.58113883}
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