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Simplifying -95p2 + -10p + 50p3 = 0 Reorder the terms: -10p + -95p2 + 50p3 = 0 Solving -10p + -95p2 + 50p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(-2 + -19p + 10p2) = 0 Factor a trinomial. 5p((-1 + -10p)(2 + -1p)) = 0 Ignore the factor 5.Subproblem 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 '(-1 + -10p)' equal to zero and attempt to solve: Simplifying -1 + -10p = 0 Solving -1 + -10p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -10p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10p = 0 + 1 -10p = 0 + 1 Combine like terms: 0 + 1 = 1 -10p = 1 Divide each side by '-10'. p = -0.1 Simplifying p = -0.1Subproblem 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, -0.1, 2}
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