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Simplifying 8 + -3p(p + -4) = 2p Reorder the terms: 8 + -3p(-4 + p) = 2p 8 + (-4 * -3p + p * -3p) = 2p 8 + (12p + -3p2) = 2p Solving 8 + 12p + -3p2 = 2p Solving for variable 'p'. Reorder the terms: 8 + 12p + -2p + -3p2 = 2p + -2p Combine like terms: 12p + -2p = 10p 8 + 10p + -3p2 = 2p + -2p Combine like terms: 2p + -2p = 0 8 + 10p + -3p2 = 0 Factor a trinomial. (4 + -1p)(2 + 3p) = 0Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Subproblem 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 = {4, -0.6666666667}
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