5n*5n+16=61

Solution for 5n*5n+16=61 equation:

Simplifying
5n * 5n + 16 = 61

Reorder the terms for easier multiplication:
5 * 5n * n + 16 = 61

Multiply 5 * 5
25n * n + 16 = 61

Multiply n * n
25n2 + 16 = 61

Reorder the terms:
16 + 25n2 = 61

Solving
16 + 25n2 = 61

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + 25n2 = 61 + -16

Combine like terms: 16 + -16 = 0
0 + 25n2 = 61 + -16
25n2 = 61 + -16

Combine like terms: 61 + -16 = 45
25n2 = 45

Divide each side by '25'.
n2 = 1.8

Simplifying
n2 = 1.8

Take the square root of each side:
n = {-1.341640787, 1.341640787}