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Simplifying -4p2 + -5p + -1 = 0 Reorder the terms: -1 + -5p + -4p2 = 0 Solving -1 + -5p + -4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 5p + 4p2) = 0 Factor a trinomial. -1((1 + p)(1 + 4p)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Subproblem 2
Set the factor '(1 + 4p)' equal to zero and attempt to solve: Simplifying 1 + 4p = 0 Solving 1 + 4p = 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 + 4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 0 + -1 4p = 0 + -1 Combine like terms: 0 + -1 = -1 4p = -1 Divide each side by '4'. p = -0.25 Simplifying p = -0.25Solution
p = {-1, -0.25}
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