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Simplifying 4p2 = -14p + -12 Reorder the terms: 4p2 = -12 + -14p Solving 4p2 = -12 + -14p Solving for variable 'p'. Reorder the terms: 12 + 14p + 4p2 = -12 + -14p + 12 + 14p Reorder the terms: 12 + 14p + 4p2 = -12 + 12 + -14p + 14p Combine like terms: -12 + 12 = 0 12 + 14p + 4p2 = 0 + -14p + 14p 12 + 14p + 4p2 = -14p + 14p Combine like terms: -14p + 14p = 0 12 + 14p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 7p + 2p2) = 0 Factor a trinomial. 2((2 + p)(3 + 2p)) = 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 '(3 + 2p)' equal to zero and attempt to solve: Simplifying 3 + 2p = 0 Solving 3 + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5Solution
p = {-2, -1.5}
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