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Simplifying 6p2 = -16p + -8 Reorder the terms: 6p2 = -8 + -16p Solving 6p2 = -8 + -16p Solving for variable 'p'. Reorder the terms: 8 + 16p + 6p2 = -8 + -16p + 8 + 16p Reorder the terms: 8 + 16p + 6p2 = -8 + 8 + -16p + 16p Combine like terms: -8 + 8 = 0 8 + 16p + 6p2 = 0 + -16p + 16p 8 + 16p + 6p2 = -16p + 16p Combine like terms: -16p + 16p = 0 8 + 16p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 8p + 3p2) = 0 Factor a trinomial. 2((2 + p)(2 + 3p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 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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