(y-10)(y+10)=0

Solution for (y-10)(y+10)=0 equation:

Simplifying
(y + -10)(y + 10) = 0

Reorder the terms:
(-10 + y)(y + 10) = 0

Reorder the terms:
(-10 + y)(10 + y) = 0

Multiply (-10 + y) * (10 + y)
(-10(10 + y) + y(10 + y)) = 0
((10 * -10 + y * -10) + y(10 + y)) = 0
((-100 + -10y) + y(10 + y)) = 0
(-100 + -10y + (10 * y + y * y)) = 0
(-100 + -10y + (10y + y2)) = 0

Combine like terms: -10y + 10y = 0
(-100 + 0 + y2) = 0
(-100 + y2) = 0

Solving
-100 + y2 = 0

Solving for variable 'y'.

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

Add '100' to each side of the equation.
-100 + 100 + y2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + y2 = 0 + 100
y2 = 0 + 100

Combine like terms: 0 + 100 = 100
y2 = 100

Simplifying
y2 = 100

Take the square root of each side:
y = {-10, 10}