12y^2+17-40=0

Solution for 12y^2+17-40=0 equation:

Simplifying
12y2 + 17 + -40 = 0

Reorder the terms:
17 + -40 + 12y2 = 0

Combine like terms: 17 + -40 = -23
-23 + 12y2 = 0

Solving
-23 + 12y2 = 0

Solving for variable 'y'.

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

Add '23' to each side of the equation.
-23 + 23 + 12y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 12y2 = 0 + 23
12y2 = 0 + 23

Combine like terms: 0 + 23 = 23
12y2 = 23

Divide each side by '12'.
y2 = 1.916666667

Simplifying
y2 = 1.916666667

Take the square root of each side:
y = {-1.384437311, 1.384437311}