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Simplifying 48p5 + -27p3 = 0 Reorder the terms: -27p3 + 48p5 = 0 Solving -27p3 + 48p5 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p3'. 3p3(-9 + 16p2) = 0 Factor a difference between two squares. 3p3((3 + 4p)(-3 + 4p)) = 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 '(3 + 4p)' equal to zero and attempt to solve: Simplifying 3 + 4p = 0 Solving 3 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 0 + -3 4p = 0 + -3 Combine like terms: 0 + -3 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75Subproblem 3
Set the factor '(-3 + 4p)' equal to zero and attempt to solve: Simplifying -3 + 4p = 0 Solving -3 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4p = 0 + 3 4p = 0 + 3 Combine like terms: 0 + 3 = 3 4p = 3 Divide each side by '4'. p = 0.75 Simplifying p = 0.75Solution
p = {-0.75, 0.75}
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