(5y*y)-1=0

Solution for (5y*y)-1=0 equation:

Simplifying
(5y * y) + -1 = 0

Multiply y * y
(5y2) + -1 = 0

Reorder the terms:
-1 + (5y2) = 0

Solving
-1 + (5y2) = 0

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + (5y2) = 0 + 1

Combine like terms: -1 + 1 = 0
0 + (5y2) = 0 + 1
(5y2) = 0 + 1

Combine like terms: 0 + 1 = 1
(5y2) = 1

Divide each side by '5'.
y2 = 0.2

Simplifying
y2 = 0.2

Take the square root of each side:
y = {-0.447213596, 0.447213596}