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Simplifying p(p + -2) + 4(p + -2) = 0 Reorder the terms: p(-2 + p) + 4(p + -2) = 0 (-2 * p + p * p) + 4(p + -2) = 0 (-2p + p2) + 4(p + -2) = 0 Reorder the terms: -2p + p2 + 4(-2 + p) = 0 -2p + p2 + (-2 * 4 + p * 4) = 0 -2p + p2 + (-8 + 4p) = 0 Reorder the terms: -8 + -2p + 4p + p2 = 0 Combine like terms: -2p + 4p = 2p -8 + 2p + p2 = 0 Solving -8 + 2p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -1p)(2 + -1p) = 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 '(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 = {-4, 2}
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