5y^2-200=0

Solution for 5y^2-200=0 equation:

Simplifying
5y2 + -200 = 0

Reorder the terms:
-200 + 5y2 = 0

Solving
-200 + 5y2 = 0

Solving for variable 'y'.

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

Add '200' to each side of the equation.
-200 + 200 + 5y2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + 5y2 = 0 + 200
5y2 = 0 + 200

Combine like terms: 0 + 200 = 200
5y2 = 200

Divide each side by '5'.
y2 = 40

Simplifying
y2 = 40

Take the square root of each side:
y = {-6.32455532, 6.32455532}