52x^2-13=0

Solution for 52x^2-13=0 equation:

Simplifying
52x2 + -13 = 0

Reorder the terms:
-13 + 52x2 = 0

Solving
-13 + 52x2 = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 52x2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 52x2 = 0 + 13
52x2 = 0 + 13

Combine like terms: 0 + 13 = 13
52x2 = 13

Divide each side by '52'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}