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Simplifying 36p3 + p2 + -21p = 0 Reorder the terms: -21p + p2 + 36p3 = 0 Solving -21p + p2 + 36p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-21 + p + 36p2) = 0 Factor a trinomial. p((-7 + -9p)(3 + -4p)) = 0Subproblem 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 '(-7 + -9p)' equal to zero and attempt to solve: Simplifying -7 + -9p = 0 Solving -7 + -9p = 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 + -9p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9p = 0 + 7 -9p = 0 + 7 Combine like terms: 0 + 7 = 7 -9p = 7 Divide each side by '-9'. p = -0.7777777778 Simplifying p = -0.7777777778Subproblem 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, -0.7777777778, 0.75}
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