4y^2+9y^2-36=0

Solution for 4y^2+9y^2-36=0 equation:

Simplifying
4y2 + 9y2 + -36 = 0

Reorder the terms:
-36 + 4y2 + 9y2 = 0

Combine like terms: 4y2 + 9y2 = 13y2
-36 + 13y2 = 0

Solving
-36 + 13y2 = 0

Solving for variable 'y'.

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

Add '36' to each side of the equation.
-36 + 36 + 13y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 13y2 = 0 + 36
13y2 = 0 + 36

Combine like terms: 0 + 36 = 36
13y2 = 36

Divide each side by '13'.
y2 = 2.769230769

Simplifying
y2 = 2.769230769

Take the square root of each side:
y = {-1.664100589, 1.664100589}