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Simplifying 4p2 + 16p = 9 Reorder the terms: 16p + 4p2 = 9 Solving 16p + 4p2 = 9 Solving for variable 'p'. Reorder the terms: -9 + 16p + 4p2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 16p + 4p2 = 0 Factor a trinomial. (-9 + -2p)(1 + -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 '(1 + -2p)' equal to zero and attempt to solve: Simplifying 1 + -2p = 0 Solving 1 + -2p = 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 + -2p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2p = 0 + -1 -2p = 0 + -1 Combine like terms: 0 + -1 = -1 -2p = -1 Divide each side by '-2'. p = 0.5 Simplifying p = 0.5Solution
p = {-4.5, 0.5}
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