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Simplifying 7p2 + 15p + 10 = 2 Reorder the terms: 10 + 15p + 7p2 = 2 Solving 10 + 15p + 7p2 = 2 Solving for variable 'p'. Reorder the terms: 10 + -2 + 15p + 7p2 = 2 + -2 Combine like terms: 10 + -2 = 8 8 + 15p + 7p2 = 2 + -2 Combine like terms: 2 + -2 = 0 8 + 15p + 7p2 = 0 Factor a trinomial. (8 + 7p)(1 + p) = 0Subproblem 1
Set the factor '(8 + 7p)' equal to zero and attempt to solve: Simplifying 8 + 7p = 0 Solving 8 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 0 + -8 7p = 0 + -8 Combine like terms: 0 + -8 = -8 7p = -8 Divide each side by '7'. p = -1.142857143 Simplifying p = -1.142857143Subproblem 2
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 = -1Solution
p = {-1.142857143, -1}
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