2y^2-13+6=0

Solution for 2y^2-13+6=0 equation:

Simplifying
2y2 + -13 + 6 = 0

Reorder the terms:
-13 + 6 + 2y2 = 0

Combine like terms: -13 + 6 = -7
-7 + 2y2 = 0

Solving
-7 + 2y2 = 0

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 2y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2y2 = 0 + 7
2y2 = 0 + 7

Combine like terms: 0 + 7 = 7
2y2 = 7

Divide each side by '2'.
y2 = 3.5

Simplifying
y2 = 3.5

Take the square root of each side:
y = {-1.870828693, 1.870828693}