(y-5)(y+5)=0

Solution for (y-5)(y+5)=0 equation:

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

Reorder the terms:
(-5 + y)(y + 5) = 0

Reorder the terms:
(-5 + y)(5 + y) = 0

Multiply (-5 + y) * (5 + y)
(-5(5 + y) + y(5 + y)) = 0
((5 * -5 + y * -5) + y(5 + y)) = 0
((-25 + -5y) + y(5 + y)) = 0
(-25 + -5y + (5 * y + y * y)) = 0
(-25 + -5y + (5y + y2)) = 0

Combine like terms: -5y + 5y = 0
(-25 + 0 + y2) = 0
(-25 + y2) = 0

Solving
-25 + y2 = 0

Solving for variable 'y'.

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

Add '25' to each side of the equation.
-25 + 25 + y2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + y2 = 0 + 25
y2 = 0 + 25

Combine like terms: 0 + 25 = 25
y2 = 25

Simplifying
y2 = 25

Take the square root of each side:
y = {-5, 5}