(4x-20)(2x+10)=180

Solution for (4x-20)(2x+10)=180 equation:

Simplifying
(4x + -20)(2x + 10) = 180

Reorder the terms:
(-20 + 4x)(2x + 10) = 180

Reorder the terms:
(-20 + 4x)(10 + 2x) = 180

Multiply (-20 + 4x) * (10 + 2x)
(-20(10 + 2x) + 4x * (10 + 2x)) = 180
((10 * -20 + 2x * -20) + 4x * (10 + 2x)) = 180
((-200 + -40x) + 4x * (10 + 2x)) = 180
(-200 + -40x + (10 * 4x + 2x * 4x)) = 180
(-200 + -40x + (40x + 8x2)) = 180

Combine like terms: -40x + 40x = 0
(-200 + 0 + 8x2) = 180
(-200 + 8x2) = 180

Solving
-200 + 8x2 = 180

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 + 8x2 = 180 + 200

Combine like terms: -200 + 200 = 0
0 + 8x2 = 180 + 200
8x2 = 180 + 200

Combine like terms: 180 + 200 = 380
8x2 = 380

Divide each side by '8'.
x2 = 47.5

Simplifying
x2 = 47.5

Take the square root of each side:
x = {-6.892024376, 6.892024376}