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

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

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

Multiply (5 + -1y) * (5 + y)
(5(5 + y) + -1y * (5 + y)) = 0
((5 * 5 + y * 5) + -1y * (5 + y)) = 0
((25 + 5y) + -1y * (5 + y)) = 0
(25 + 5y + (5 * -1y + y * -1y)) = 0
(25 + 5y + (-5y + -1y2)) = 0

Combine like terms: 5y + -5y = 0
(25 + 0 + -1y2) = 0
(25 + -1y2) = 0

Solving
25 + -1y2 = 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 + -1y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1y2 = 0 + -25
-1y2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1y2 = -25

Divide each side by '-1'.
y2 = 25

Simplifying
y2 = 25

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