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Simplifying (2p + -9)(2p + -9) = 0 Reorder the terms: (-9 + 2p)(2p + -9) = 0 Reorder the terms: (-9 + 2p)(-9 + 2p) = 0 Multiply (-9 + 2p) * (-9 + 2p) (-9(-9 + 2p) + 2p * (-9 + 2p)) = 0 ((-9 * -9 + 2p * -9) + 2p * (-9 + 2p)) = 0 ((81 + -18p) + 2p * (-9 + 2p)) = 0 (81 + -18p + (-9 * 2p + 2p * 2p)) = 0 (81 + -18p + (-18p + 4p2)) = 0 Combine like terms: -18p + -18p = -36p (81 + -36p + 4p2) = 0 Solving 81 + -36p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + -2p)(9 + -2p) = 0Subproblem 1
Set the factor '(9 + -2p)' equal to zero and attempt to solve: Simplifying 9 + -2p = 0 Solving 9 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 0 + -9 -2p = 0 + -9 Combine like terms: 0 + -9 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5Subproblem 2
Set the factor '(9 + -2p)' equal to zero and attempt to solve: Simplifying 9 + -2p = 0 Solving 9 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 0 + -9 -2p = 0 + -9 Combine like terms: 0 + -9 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5Solution
p = {4.5, 4.5}
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