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Simplifying 9n2 + 73n + 70 = 0 Reorder the terms: 70 + 73n + 9n2 = 0 Solving 70 + 73n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + n)(10 + 9n) = 0Subproblem 1
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Subproblem 2
Set the factor '(10 + 9n)' equal to zero and attempt to solve: Simplifying 10 + 9n = 0 Solving 10 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9n = 0 + -10 9n = 0 + -10 Combine like terms: 0 + -10 = -10 9n = -10 Divide each side by '9'. n = -1.111111111 Simplifying n = -1.111111111Solution
n = {-7, -1.111111111}
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