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Simplifying 5p3 + -1p2 + -18p = 0 Reorder the terms: -18p + -1p2 + 5p3 = 0 Solving -18p + -1p2 + 5p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-18 + -1p + 5p2) = 0 Factor a trinomial. p((-9 + -5p)(2 + -1p)) = 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 '(-9 + -5p)' equal to zero and attempt to solve: Simplifying -9 + -5p = 0 Solving -9 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5p = 0 + 9 -5p = 0 + 9 Combine like terms: 0 + 9 = 9 -5p = 9 Divide each side by '-5'. p = -1.8 Simplifying p = -1.8Subproblem 3
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {0, -1.8, 2}
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