(z+10)(z-10)=

Solution for (z+10)(z-10)= equation:

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

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

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

Multiply (10 + z) * (-10 + z)
(10(-10 + z) + z(-10 + z)) = 0
((-10 * 10 + z * 10) + z(-10 + z)) = 0
((-100 + 10z) + z(-10 + z)) = 0
(-100 + 10z + (-10 * z + z * z)) = 0
(-100 + 10z + (-10z + z2)) = 0

Combine like terms: 10z + -10z = 0
(-100 + 0 + z2) = 0
(-100 + z2) = 0

Solving
-100 + z2 = 0

Solving for variable 'z'.

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

Add '100' to each side of the equation.
-100 + 100 + z2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + z2 = 0 + 100
z2 = 0 + 100

Combine like terms: 0 + 100 = 100
z2 = 100

Simplifying
z2 = 100

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