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Simplifying 3p2 + 20p + 36 = 4 Reorder the terms: 36 + 20p + 3p2 = 4 Solving 36 + 20p + 3p2 = 4 Solving for variable 'p'. Reorder the terms: 36 + -4 + 20p + 3p2 = 4 + -4 Combine like terms: 36 + -4 = 32 32 + 20p + 3p2 = 4 + -4 Combine like terms: 4 + -4 = 0 32 + 20p + 3p2 = 0 Factor a trinomial. (4 + p)(8 + 3p) = 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 + 3p)' equal to zero and attempt to solve: Simplifying 8 + 3p = 0 Solving 8 + 3p = 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 + 3p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 0 + -8 3p = 0 + -8 Combine like terms: 0 + -8 = -8 3p = -8 Divide each side by '3'. p = -2.666666667 Simplifying p = -2.666666667Solution
p = {-4, -2.666666667}
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