13x^2-16=10

Solution for 13x^2-16=10 equation:

Simplifying
13x2 + -16 = 10

Reorder the terms:
-16 + 13x2 = 10

Solving
-16 + 13x2 = 10

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 13x2 = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 13x2 = 10 + 16
13x2 = 10 + 16

Combine like terms: 10 + 16 = 26
13x2 = 26

Divide each side by '13'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}