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Simplifying 6p2 + 5p + -137 = 7 Reorder the terms: -137 + 5p + 6p2 = 7 Solving -137 + 5p + 6p2 = 7 Solving for variable 'p'. Reorder the terms: -137 + -7 + 5p + 6p2 = 7 + -7 Combine like terms: -137 + -7 = -144 -144 + 5p + 6p2 = 7 + -7 Combine like terms: 7 + -7 = 0 -144 + 5p + 6p2 = 0 Factor a trinomial. (-16 + -3p)(9 + -2p) = 0Subproblem 1
Set the factor '(-16 + -3p)' equal to zero and attempt to solve: Simplifying -16 + -3p = 0 Solving -16 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3p = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3p = 0 + 16 -3p = 0 + 16 Combine like terms: 0 + 16 = 16 -3p = 16 Divide each side by '-3'. p = -5.333333333 Simplifying p = -5.333333333Subproblem 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 = {-5.333333333, 4.5}
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