(10-t)(10+t)=0

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

Simplifying
(10 + -1t)(10 + t) = 0

Multiply (10 + -1t) * (10 + t)
(10(10 + t) + -1t * (10 + t)) = 0
((10 * 10 + t * 10) + -1t * (10 + t)) = 0
((100 + 10t) + -1t * (10 + t)) = 0
(100 + 10t + (10 * -1t + t * -1t)) = 0
(100 + 10t + (-10t + -1t2)) = 0

Combine like terms: 10t + -10t = 0
(100 + 0 + -1t2) = 0
(100 + -1t2) = 0

Solving
100 + -1t2 = 0

Solving for variable 't'.

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

Add '-100' to each side of the equation.
100 + -100 + -1t2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1t2 = 0 + -100
-1t2 = 0 + -100

Combine like terms: 0 + -100 = -100
-1t2 = -100

Divide each side by '-1'.
t2 = 100

Simplifying
t2 = 100

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