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Simplifying p3 + -8p = 0 Reorder the terms: -8p + p3 = 0 Solving -8p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-8 + p2) = 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 '(-8 + p2)' equal to zero and attempt to solve: Simplifying -8 + p2 = 0 Solving -8 + p2 = 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 + p2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + p2 = 0 + 8 p2 = 0 + 8 Combine like terms: 0 + 8 = 8 p2 = 8 Simplifying p2 = 8 Take the square root of each side: p = {-2.828427125, 2.828427125}Solution
p = {0, -2.828427125, 2.828427125}
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