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Simplifying 2p2 + -63 = 11p Reorder the terms: -63 + 2p2 = 11p Solving -63 + 2p2 = 11p Solving for variable 'p'. Reorder the terms: -63 + -11p + 2p2 = 11p + -11p Combine like terms: 11p + -11p = 0 -63 + -11p + 2p2 = 0 Factor a trinomial. (-7 + -2p)(9 + -1p) = 0Subproblem 1
Set the factor '(-7 + -2p)' equal to zero and attempt to solve: Simplifying -7 + -2p = 0 Solving -7 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2p = 0 + 7 -2p = 0 + 7 Combine like terms: 0 + 7 = 7 -2p = 7 Divide each side by '-2'. p = -3.5 Simplifying p = -3.5Subproblem 2
Set the factor '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 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 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9Solution
p = {-3.5, 9}
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