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Simplifying 7p2 = -12p + -5 Reorder the terms: 7p2 = -5 + -12p Solving 7p2 = -5 + -12p Solving for variable 'p'. Reorder the terms: 5 + 12p + 7p2 = -5 + -12p + 5 + 12p Reorder the terms: 5 + 12p + 7p2 = -5 + 5 + -12p + 12p Combine like terms: -5 + 5 = 0 5 + 12p + 7p2 = 0 + -12p + 12p 5 + 12p + 7p2 = -12p + 12p Combine like terms: -12p + 12p = 0 5 + 12p + 7p2 = 0 Factor a trinomial. (1 + p)(5 + 7p) = 0Subproblem 1
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Subproblem 2
Set the factor '(5 + 7p)' equal to zero and attempt to solve: Simplifying 5 + 7p = 0 Solving 5 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7p = 0 + -5 7p = 0 + -5 Combine like terms: 0 + -5 = -5 7p = -5 Divide each side by '7'. p = -0.7142857143 Simplifying p = -0.7142857143Solution
p = {-1, -0.7142857143}
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