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Simplifying 7p2 = -31p + -12 Reorder the terms: 7p2 = -12 + -31p Solving 7p2 = -12 + -31p Solving for variable 'p'. Reorder the terms: 12 + 31p + 7p2 = -12 + -31p + 12 + 31p Reorder the terms: 12 + 31p + 7p2 = -12 + 12 + -31p + 31p Combine like terms: -12 + 12 = 0 12 + 31p + 7p2 = 0 + -31p + 31p 12 + 31p + 7p2 = -31p + 31p Combine like terms: -31p + 31p = 0 12 + 31p + 7p2 = 0 Factor a trinomial. (4 + p)(3 + 7p) = 0Subproblem 1
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Subproblem 2
Set the factor '(3 + 7p)' equal to zero and attempt to solve: Simplifying 3 + 7p = 0 Solving 3 + 7p = 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 + 7p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7p = 0 + -3 7p = 0 + -3 Combine like terms: 0 + -3 = -3 7p = -3 Divide each side by '7'. p = -0.4285714286 Simplifying p = -0.4285714286Solution
p = {-4, -0.4285714286}
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