4x^2-13=13

Solution for 4x^2-13=13 equation:

Simplifying
4x2 + -13 = 13

Reorder the terms:
-13 + 4x2 = 13

Solving
-13 + 4x2 = 13

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 + 4x2 = 13 + 13

Combine like terms: -13 + 13 = 0
0 + 4x2 = 13 + 13
4x2 = 13 + 13

Combine like terms: 13 + 13 = 26
4x2 = 26

Divide each side by '4'.
x2 = 6.5

Simplifying
x2 = 6.5

Take the square root of each side:
x = {-2.549509757, 2.549509757}