3y^2-13-10=0

Solution for 3y^2-13-10=0 equation:

Simplifying
3y2 + -13 + -10 = 0

Reorder the terms:
-13 + -10 + 3y2 = 0

Combine like terms: -13 + -10 = -23
-23 + 3y2 = 0

Solving
-23 + 3y2 = 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 + 3y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 3y2 = 0 + 23
3y2 = 0 + 23

Combine like terms: 0 + 23 = 23
3y2 = 23

Divide each side by '3'.
y2 = 7.666666667

Simplifying
y2 = 7.666666667

Take the square root of each side:
y = {-2.768874621, 2.768874621}