x^2+4x^2-20=0

Solution for x^2+4x^2-20=0 equation:

Simplifying
x2 + 4x2 + -20 = 0

Reorder the terms:
-20 + x2 + 4x2 = 0

Combine like terms: x2 + 4x2 = 5x2
-20 + 5x2 = 0

Solving
-20 + 5x2 = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 5x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5x2 = 0 + 20
5x2 = 0 + 20

Combine like terms: 0 + 20 = 20
5x2 = 20

Divide each side by '5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}