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Simplifying 5p3 + -25p = 0 Reorder the terms: -25p + 5p3 = 0 Solving -25p + 5p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-5 + p2) = 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 '(-5 + p2)' equal to zero and attempt to solve: Simplifying -5 + p2 = 0 Solving -5 + p2 = 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 + p2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + p2 = 0 + 5 p2 = 0 + 5 Combine like terms: 0 + 5 = 5 p2 = 5 Simplifying p2 = 5 Take the square root of each side: p = {-2.236067978, 2.236067978}Solution
p = {0, -2.236067978, 2.236067978}
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