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Simplifying 3p2 + 4p + 4 = 8 Reorder the terms: 4 + 4p + 3p2 = 8 Solving 4 + 4p + 3p2 = 8 Solving for variable 'p'. Reorder the terms: 4 + -8 + 4p + 3p2 = 8 + -8 Combine like terms: 4 + -8 = -4 -4 + 4p + 3p2 = 8 + -8 Combine like terms: 8 + -8 = 0 -4 + 4p + 3p2 = 0 Factor a trinomial. (-2 + -1p)(2 + -3p) = 0Subproblem 1
Set the factor '(-2 + -1p)' equal to zero and attempt to solve: Simplifying -2 + -1p = 0 Solving -2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1p = 0 + 2 -1p = 0 + 2 Combine like terms: 0 + 2 = 2 -1p = 2 Divide each side by '-1'. p = -2 Simplifying p = -2Subproblem 2
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Solution
p = {-2, 0.6666666667}
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