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Simplifying 3p5 + -192p3 = 0 Reorder the terms: -192p3 + 3p5 = 0 Solving -192p3 + 3p5 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p3'. 3p3(-64 + p2) = 0 Factor a difference between two squares. 3p3((8 + p)(-8 + p)) = 0 Ignore the factor 3.Subproblem 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 '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 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 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 3
Set the factor '(-8 + p)' equal to zero and attempt to solve: Simplifying -8 + p = 0 Solving -8 + p = 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 + p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + p = 0 + 8 p = 0 + 8 Combine like terms: 0 + 8 = 8 p = 8 Simplifying p = 8Solution
p = {-8, 8}
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