36n^2+84n+49=0

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Solution for 36n^2+84n+49=0 equation: 


Simplifying
36n2 + 84n + 49 = 0

Reorder the terms:
49 + 84n + 36n2 = 0

Solving
49 + 84n + 36n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + 6n)(7 + 6n) = 0


Subproblem 1
Set the factor '(7 + 6n)' equal to zero and attempt to solve:

Simplifying
7 + 6n = 0

Solving
7 + 6n = 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 + 6n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6n = 0 + -7
6n = 0 + -7

Combine like terms: 0 + -7 = -7
6n = -7

Divide each side by '6'.
n = -1.166666667

Simplifying
n = -1.166666667

Subproblem 2
Set the factor '(7 + 6n)' equal to zero and attempt to solve:

Simplifying
7 + 6n = 0

Solving
7 + 6n = 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 + 6n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6n = 0 + -7
6n = 0 + -7

Combine like terms: 0 + -7 = -7
6n = -7

Divide each side by '6'.
n = -1.166666667

Simplifying
n = -1.166666667
Solution
n = {-1.166666667, -1.166666667}

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