10y^2-81=0

Solution for 10y^2-81=0 equation:

Simplifying
10y2 + -81 = 0

Reorder the terms:
-81 + 10y2 = 0

Solving
-81 + 10y2 = 0

Solving for variable 'y'.

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

Add '81' to each side of the equation.
-81 + 81 + 10y2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 10y2 = 0 + 81
10y2 = 0 + 81

Combine like terms: 0 + 81 = 81
10y2 = 81

Divide each side by '10'.
y2 = 8.1

Simplifying
y2 = 8.1

Take the square root of each side:
y = {-2.846049894, 2.846049894}