13-5x^2+169=0

Solution for 13-5x^2+169=0 equation:

Simplifying
13 + -5x2 + 169 = 0

Reorder the terms:
13 + 169 + -5x2 = 0

Combine like terms: 13 + 169 = 182
182 + -5x2 = 0

Solving
182 + -5x2 = 0

Solving for variable 'x'.

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

Add '-182' to each side of the equation.
182 + -182 + -5x2 = 0 + -182

Combine like terms: 182 + -182 = 0
0 + -5x2 = 0 + -182
-5x2 = 0 + -182

Combine like terms: 0 + -182 = -182
-5x2 = -182

Divide each side by '-5'.
x2 = 36.4

Simplifying
x2 = 36.4

Take the square root of each side:
x = {-6.033241252, 6.033241252}