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Simplifying -2p + -5 = -2p(p + 1) Reorder the terms: -5 + -2p = -2p(p + 1) Reorder the terms: -5 + -2p = -2p(1 + p) -5 + -2p = (1 * -2p + p * -2p) -5 + -2p = (-2p + -2p2) Add '2p' to each side of the equation. -5 + -2p + 2p = -2p + 2p + -2p2 Combine like terms: -2p + 2p = 0 -5 + 0 = -2p + 2p + -2p2 -5 = -2p + 2p + -2p2 Combine like terms: -2p + 2p = 0 -5 = 0 + -2p2 -5 = -2p2 Solving -5 = -2p2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p2' to each side of the equation. -5 + 2p2 = -2p2 + 2p2 Combine like terms: -2p2 + 2p2 = 0 -5 + 2p2 = 0 Add '5' to each side of the equation. -5 + 5 + 2p2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2p2 = 0 + 5 2p2 = 0 + 5 Combine like terms: 0 + 5 = 5 2p2 = 5 Divide each side by '2'. p2 = 2.5 Simplifying p2 = 2.5 Take the square root of each side: p = {-1.58113883, 1.58113883}
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