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Simplifying p5 + -49p3 = 0 Reorder the terms: -49p3 + p5 = 0 Solving -49p3 + p5 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p3'. p3(-49 + p2) = 0 Factor a difference between two squares. p3((7 + p)(-7 + 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 '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Subproblem 3
Set the factor '(-7 + p)' equal to zero and attempt to solve: Simplifying -7 + p = 0 Solving -7 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + p = 0 + 7 p = 0 + 7 Combine like terms: 0 + 7 = 7 p = 7 Simplifying p = 7Solution
p = {-7, 7}
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