0.1y^2+0.4y^2-0.2x^2=

Solution for 0.1y^2+0.4y^2-0.2x^2= equation:

Simplifying
0.1y2 + 0.4y2 + -0.2x2 = 0

Reorder the terms:
-0.2x2 + 0.1y2 + 0.4y2 = 0

Combine like terms: 0.1y2 + 0.4y2 = 0.5y2
-0.2x2 + 0.5y2 = 0

Solving
-0.2x2 + 0.5y2 = 0

Solving for variable 'x'.

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

Add '-0.5y2' to each side of the equation.
-0.2x2 + 0.5y2 + -0.5y2 = 0 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
-0.2x2 + 0.0 = 0 + -0.5y2
-0.2x2 = 0 + -0.5y2
Remove the zero:
-0.2x2 = -0.5y2

Divide each side by '-0.2'.
x2 = 2.5y2

Simplifying
x2 = 2.5y2

Take the square root of each side:
x = {-1.58113883y, 1.58113883y}