25Y^2-10=0

Solution for 25Y^2-10=0 equation:

Simplifying
25Y2 + -10 = 0

Reorder the terms:
-10 + 25Y2 = 0

Solving
-10 + 25Y2 = 0

Solving for variable 'Y'.

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

Add '10' to each side of the equation.
-10 + 10 + 25Y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 25Y2 = 0 + 10
25Y2 = 0 + 10

Combine like terms: 0 + 10 = 10
25Y2 = 10

Divide each side by '25'.
Y2 = 0.4

Simplifying
Y2 = 0.4

Take the square root of each side:
Y = {-0.632455532, 0.632455532}