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Simplifying 7p2 + 36p + 32 = 0 Reorder the terms: 32 + 36p + 7p2 = 0 Solving 32 + 36p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + p)(8 + 7p) = 0Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Subproblem 2
Set the factor '(8 + 7p)' equal to zero and attempt to solve: Simplifying 8 + 7p = 0 Solving 8 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 0 + -8 7p = 0 + -8 Combine like terms: 0 + -8 = -8 7p = -8 Divide each side by '7'. p = -1.142857143 Simplifying p = -1.142857143Solution
p = {-4, -1.142857143}
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