(5x^2+1)=196

Solution for (5x^2+1)=196 equation:

Simplifying
(5x2 + 1) = 196

Reorder the terms:
(1 + 5x2) = 196

Remove parenthesis around (1 + 5x2)
1 + 5x2 = 196

Solving
1 + 5x2 = 196

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 5x2 = 196 + -1

Combine like terms: 1 + -1 = 0
0 + 5x2 = 196 + -1
5x2 = 196 + -1

Combine like terms: 196 + -1 = 195
5x2 = 195

Divide each side by '5'.
x2 = 39

Simplifying
x2 = 39

Take the square root of each side:
x = {-6.244997998, 6.244997998}