7n^2+61n+40=0

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Solution for 7n^2+61n+40=0 equation:


Simplifying
7n2 + 61n + 40 = 0

Reorder the terms:
40 + 61n + 7n2 = 0

Solving
40 + 61n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + n)(5 + 7n) = 0

Subproblem 1

Set the factor '(8 + n)' equal to zero and attempt to solve: Simplifying 8 + n = 0 Solving 8 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n = 0 + -8 n = 0 + -8 Combine like terms: 0 + -8 = -8 n = -8 Simplifying n = -8

Subproblem 2

Set the factor '(5 + 7n)' equal to zero and attempt to solve: Simplifying 5 + 7n = 0 Solving 5 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 0 + -5 7n = 0 + -5 Combine like terms: 0 + -5 = -5 7n = -5 Divide each side by '7'. n = -0.7142857143 Simplifying n = -0.7142857143

Solution

n = {-8, -0.7142857143}

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