(20+x)(10-0.5x)=

Solution for (20+x)(10-0.5x)= equation:

Simplifying
(20 + x)(10 + -0.5x) = 0

Multiply (20 + x) * (10 + -0.5x)
(20(10 + -0.5x) + x(10 + -0.5x)) = 0
((10 * 20 + -0.5x * 20) + x(10 + -0.5x)) = 0
((200 + -10x) + x(10 + -0.5x)) = 0
(200 + -10x + (10 * x + -0.5x * x)) = 0
(200 + -10x + (10x + -0.5x2)) = 0

Combine like terms: -10x + 10x = 0
(200 + 0 + -0.5x2) = 0
(200 + -0.5x2) = 0

Solving
200 + -0.5x2 = 0

Solving for variable 'x'.

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

Add '-200' to each side of the equation.
200 + -200 + -0.5x2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -0.5x2 = 0 + -200
-0.5x2 = 0 + -200

Combine like terms: 0 + -200 = -200
-0.5x2 = -200

Divide each side by '-0.5'.
x2 = 400

Simplifying
x2 = 400

Take the square root of each side:
x = {-20, 20}