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Simplifying p5 + -144p3 = 0 Reorder the terms: -144p3 + p5 = 0 Solving -144p3 + p5 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p3'. p3(-144 + p2) = 0 Factor a difference between two squares. p3((12 + p)(-12 + p)) = 0Subproblem 1
Set the factor 'p3' equal to zero and attempt to solve: Simplifying p3 = 0 Solving p3 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(12 + p)' equal to zero and attempt to solve: Simplifying 12 + p = 0 Solving 12 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + p = 0 + -12 p = 0 + -12 Combine like terms: 0 + -12 = -12 p = -12 Simplifying p = -12Subproblem 3
Set the factor '(-12 + p)' equal to zero and attempt to solve: Simplifying -12 + p = 0 Solving -12 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + p = 0 + 12 p = 0 + 12 Combine like terms: 0 + 12 = 12 p = 12 Simplifying p = 12Solution
p = {-12, 12}
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