0.25x^2+4=x^2

Solution for 0.25x^2+4=x^2 equation:

Simplifying
0.25x2 + 4 = x2

Reorder the terms:
4 + 0.25x2 = x2

Solving
4 + 0.25x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
4 + 0.25x2 + -1x2 = x2 + -1x2

Combine like terms: 0.25x2 + -1x2 = -0.75x2
4 + -0.75x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + -0.75x2 = 0

Add '-4' to each side of the equation.
4 + -4 + -0.75x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.75x2 = 0 + -4
-0.75x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.75x2 = -4

Divide each side by '-0.75'.
x2 = 5.333333333

Simplifying
x2 = 5.333333333

Take the square root of each side:
x = {-2.309401077, 2.309401077}