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Simplifying 7p2 = -8p + -1 Reorder the terms: 7p2 = -1 + -8p Solving 7p2 = -1 + -8p Solving for variable 'p'. Reorder the terms: 1 + 8p + 7p2 = -1 + -8p + 1 + 8p Reorder the terms: 1 + 8p + 7p2 = -1 + 1 + -8p + 8p Combine like terms: -1 + 1 = 0 1 + 8p + 7p2 = 0 + -8p + 8p 1 + 8p + 7p2 = -8p + 8p Combine like terms: -8p + 8p = 0 1 + 8p + 7p2 = 0 Factor a trinomial. (1 + p)(1 + 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 '(1 + 7p)' equal to zero and attempt to solve: Simplifying 1 + 7p = 0 Solving 1 + 7p = 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 + 7p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7p = 0 + -1 7p = 0 + -1 Combine like terms: 0 + -1 = -1 7p = -1 Divide each side by '7'. p = -0.1428571429 Simplifying p = -0.1428571429Solution
p = {-1, -0.1428571429}
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