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Simplifying 125p3 + -5p = 0 Reorder the terms: -5p + 125p3 = 0 Solving -5p + 125p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-1 + 25p2) = 0 Factor a difference between two squares. 5p((1 + 5p)(-1 + 5p)) = 0 Ignore the factor 5.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 '(1 + 5p)' equal to zero and attempt to solve: Simplifying 1 + 5p = 0 Solving 1 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 0 + -1 5p = 0 + -1 Combine like terms: 0 + -1 = -1 5p = -1 Divide each side by '5'. p = -0.2 Simplifying p = -0.2Subproblem 3
Set the factor '(-1 + 5p)' equal to zero and attempt to solve: Simplifying -1 + 5p = 0 Solving -1 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5p = 0 + 1 5p = 0 + 1 Combine like terms: 0 + 1 = 1 5p = 1 Divide each side by '5'. p = 0.2 Simplifying p = 0.2Solution
p = {0, -0.2, 0.2}
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