5y^2-12=3

Solution for 5y^2-12=3 equation:

Simplifying
5y2 + -12 = 3

Reorder the terms:
-12 + 5y2 = 3

Solving
-12 + 5y2 = 3

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 5y2 = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5y2 = 3 + 12
5y2 = 3 + 12

Combine like terms: 3 + 12 = 15
5y2 = 15

Divide each side by '5'.
y2 = 3

Simplifying
y2 = 3

Take the square root of each side:
y = {-1.732050808, 1.732050808}