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Simplifying 4p2 + -12p + -91 = 0 Reorder the terms: -91 + -12p + 4p2 = 0 Solving -91 + -12p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -2p)(13 + -2p) = 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 '(13 + -2p)' equal to zero and attempt to solve: Simplifying 13 + -2p = 0 Solving 13 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2p = 0 + -13 -2p = 0 + -13 Combine like terms: 0 + -13 = -13 -2p = -13 Divide each side by '-2'. p = 6.5 Simplifying p = 6.5Solution
p = {-3.5, 6.5}
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