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Simplifying 0 = p2 + -3p + -4 Reorder the terms: 0 = -4 + -3p + p2 Solving 0 = -4 + -3p + p2 Solving for variable 'p'. Combine like terms: 0 + 4 = 4 4 + 3p + -1p2 = -4 + -3p + p2 + 4 + 3p + -1p2 Reorder the terms: 4 + 3p + -1p2 = -4 + 4 + -3p + 3p + p2 + -1p2 Combine like terms: -4 + 4 = 0 4 + 3p + -1p2 = 0 + -3p + 3p + p2 + -1p2 4 + 3p + -1p2 = -3p + 3p + p2 + -1p2 Combine like terms: -3p + 3p = 0 4 + 3p + -1p2 = 0 + p2 + -1p2 4 + 3p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 4 + 3p + -1p2 = 0 Factor a trinomial. (4 + -1p)(1 + p) = 0Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Subproblem 2
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 = -1Solution
p = {4, -1}
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