3y^2-40+9=0

Solution for 3y^2-40+9=0 equation:

Simplifying
3y2 + -40 + 9 = 0

Reorder the terms:
-40 + 9 + 3y2 = 0

Combine like terms: -40 + 9 = -31
-31 + 3y2 = 0

Solving
-31 + 3y2 = 0

Solving for variable 'y'.

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

Add '31' to each side of the equation.
-31 + 31 + 3y2 = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 3y2 = 0 + 31
3y2 = 0 + 31

Combine like terms: 0 + 31 = 31
3y2 = 31

Divide each side by '3'.
y2 = 10.33333333

Simplifying
y2 = 10.33333333

Take the square root of each side:
y = {-3.214550253, 3.214550253}