0.2x^2+2=0.6x^2

Solution for 0.2x^2+2=0.6x^2 equation:

Simplifying
0.2x2 + 2 = 0.6x2

Reorder the terms:
2 + 0.2x2 = 0.6x2

Solving
2 + 0.2x2 = 0.6x2

Solving for variable 'x'.

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

Add '-0.6x2' to each side of the equation.
2 + 0.2x2 + -0.6x2 = 0.6x2 + -0.6x2

Combine like terms: 0.2x2 + -0.6x2 = -0.4x2
2 + -0.4x2 = 0.6x2 + -0.6x2

Combine like terms: 0.6x2 + -0.6x2 = 0.0
2 + -0.4x2 = 0.0

Add '-2' to each side of the equation.
2 + -2 + -0.4x2 = 0.0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.4x2 = 0.0 + -2
-0.4x2 = 0.0 + -2

Combine like terms: 0.0 + -2 = -2
-0.4x2 = -2

Divide each side by '-0.4'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}