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Simplifying 7p2 = -26p + -15 Reorder the terms: 7p2 = -15 + -26p Solving 7p2 = -15 + -26p Solving for variable 'p'. Reorder the terms: 15 + 26p + 7p2 = -15 + -26p + 15 + 26p Reorder the terms: 15 + 26p + 7p2 = -15 + 15 + -26p + 26p Combine like terms: -15 + 15 = 0 15 + 26p + 7p2 = 0 + -26p + 26p 15 + 26p + 7p2 = -26p + 26p Combine like terms: -26p + 26p = 0 15 + 26p + 7p2 = 0 Factor a trinomial. (3 + p)(5 + 7p) = 0Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 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 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 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 = {-3, -0.7142857143}
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