(10+x)(10-x)=48

Solution for (10+x)(10-x)=48 equation:

Simplifying
(10 + x)(10 + -1x) = 48

Multiply (10 + x) * (10 + -1x)
(10(10 + -1x) + x(10 + -1x)) = 48
((10 * 10 + -1x * 10) + x(10 + -1x)) = 48
((100 + -10x) + x(10 + -1x)) = 48
(100 + -10x + (10 * x + -1x * x)) = 48
(100 + -10x + (10x + -1x2)) = 48

Combine like terms: -10x + 10x = 0
(100 + 0 + -1x2) = 48
(100 + -1x2) = 48

Solving
100 + -1x2 = 48

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + -1x2 = 48 + -100

Combine like terms: 100 + -100 = 0
0 + -1x2 = 48 + -100
-1x2 = 48 + -100

Combine like terms: 48 + -100 = -52
-1x2 = -52

Divide each side by '-1'.
x2 = 52

Simplifying
x2 = 52

Take the square root of each side:
x = {-7.211102551, 7.211102551}