(102-x)*(102+x)=800

Solution for (102-x)*(102+x)=800 equation:

Simplifying
(102 + -1x)(102 + x) = 800

Multiply (102 + -1x) * (102 + x)
(102(102 + x) + -1x * (102 + x)) = 800
((102 * 102 + x * 102) + -1x * (102 + x)) = 800
((10404 + 102x) + -1x * (102 + x)) = 800
(10404 + 102x + (102 * -1x + x * -1x)) = 800
(10404 + 102x + (-102x + -1x2)) = 800

Combine like terms: 102x + -102x = 0
(10404 + 0 + -1x2) = 800
(10404 + -1x2) = 800

Solving
10404 + -1x2 = 800

Solving for variable 'x'.

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

Add '-10404' to each side of the equation.
10404 + -10404 + -1x2 = 800 + -10404

Combine like terms: 10404 + -10404 = 0
0 + -1x2 = 800 + -10404
-1x2 = 800 + -10404

Combine like terms: 800 + -10404 = -9604
-1x2 = -9604

Divide each side by '-1'.
x2 = 9604

Simplifying
x2 = 9604

Take the square root of each side:
x = {-98, 98}