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Simplifying p3 + -2p + 2p3 = 0 Reorder the terms: -2p + p3 + 2p3 = 0 Combine like terms: p3 + 2p3 = 3p3 -2p + 3p3 = 0 Solving -2p + 3p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-2 + 3p2) = 0Subproblem 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 '(-2 + 3p2)' equal to zero and attempt to solve: Simplifying -2 + 3p2 = 0 Solving -2 + 3p2 = 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 + 3p2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3p2 = 0 + 2 3p2 = 0 + 2 Combine like terms: 0 + 2 = 2 3p2 = 2 Divide each side by '3'. p2 = 0.6666666667 Simplifying p2 = 0.6666666667 Take the square root of each side: p = {-0.816496581, 0.816496581}Solution
p = {0, -0.816496581, 0.816496581}
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