625=4x^2+x^2

Solution for 625=4x^2+x^2 equation:

Simplifying
625 = 4x2 + x2

Combine like terms: 4x2 + x2 = 5x2
625 = 5x2

Solving
625 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
625 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
625 + -5x2 = 0

Add '-625' to each side of the equation.
625 + -625 + -5x2 = 0 + -625

Combine like terms: 625 + -625 = 0
0 + -5x2 = 0 + -625
-5x2 = 0 + -625

Combine like terms: 0 + -625 = -625
-5x2 = -625

Divide each side by '-5'.
x2 = 125

Simplifying
x2 = 125

Take the square root of each side:
x = {-11.180339887, 11.180339887}