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Simplifying 5p2 + -1p + -4 = 0 Reorder the terms: -4 + -1p + 5p2 = 0 Solving -4 + -1p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -5p)(1 + -1p) = 0Subproblem 1
Set the factor '(-4 + -5p)' equal to zero and attempt to solve: Simplifying -4 + -5p = 0 Solving -4 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5p = 0 + 4 -5p = 0 + 4 Combine like terms: 0 + 4 = 4 -5p = 4 Divide each side by '-5'. p = -0.8 Simplifying p = -0.8Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {-0.8, 1}
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