12y^2+3y^2-15=0

Solution for 12y^2+3y^2-15=0 equation:

Simplifying
12y2 + 3y2 + -15 = 0

Reorder the terms:
-15 + 12y2 + 3y2 = 0

Combine like terms: 12y2 + 3y2 = 15y2
-15 + 15y2 = 0

Solving
-15 + 15y2 = 0

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 15y2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 15y2 = 0 + 15
15y2 = 0 + 15

Combine like terms: 0 + 15 = 15
15y2 = 15

Divide each side by '15'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}