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Simplifying 9p2 + 73p + 70 = 0 Reorder the terms: 70 + 73p + 9p2 = 0 Solving 70 + 73p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + p)(10 + 9p) = 0Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Subproblem 2
Set the factor '(10 + 9p)' equal to zero and attempt to solve: Simplifying 10 + 9p = 0 Solving 10 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9p = 0 + -10 9p = 0 + -10 Combine like terms: 0 + -10 = -10 9p = -10 Divide each side by '9'. p = -1.111111111 Simplifying p = -1.111111111Solution
p = {-7, -1.111111111}
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