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Simplifying 4p2 = -11p + -6 Reorder the terms: 4p2 = -6 + -11p Solving 4p2 = -6 + -11p Solving for variable 'p'. Reorder the terms: 6 + 11p + 4p2 = -6 + -11p + 6 + 11p Reorder the terms: 6 + 11p + 4p2 = -6 + 6 + -11p + 11p Combine like terms: -6 + 6 = 0 6 + 11p + 4p2 = 0 + -11p + 11p 6 + 11p + 4p2 = -11p + 11p Combine like terms: -11p + 11p = 0 6 + 11p + 4p2 = 0 Factor a trinomial. (2 + p)(3 + 4p) = 0Subproblem 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 + 4p)' equal to zero and attempt to solve: Simplifying 3 + 4p = 0 Solving 3 + 4p = 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 + 4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 0 + -3 4p = 0 + -3 Combine like terms: 0 + -3 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75Solution
p = {-2, -0.75}
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