(2x-30)(x+15)=180

Solution for (2x-30)(x+15)=180 equation:

Simplifying
(2x + -30)(x + 15) = 180

Reorder the terms:
(-30 + 2x)(x + 15) = 180

Reorder the terms:
(-30 + 2x)(15 + x) = 180

Multiply (-30 + 2x) * (15 + x)
(-30(15 + x) + 2x * (15 + x)) = 180
((15 * -30 + x * -30) + 2x * (15 + x)) = 180
((-450 + -30x) + 2x * (15 + x)) = 180
(-450 + -30x + (15 * 2x + x * 2x)) = 180
(-450 + -30x + (30x + 2x2)) = 180

Combine like terms: -30x + 30x = 0
(-450 + 0 + 2x2) = 180
(-450 + 2x2) = 180

Solving
-450 + 2x2 = 180

Solving for variable 'x'.

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

Add '450' to each side of the equation.
-450 + 450 + 2x2 = 180 + 450

Combine like terms: -450 + 450 = 0
0 + 2x2 = 180 + 450
2x2 = 180 + 450

Combine like terms: 180 + 450 = 630
2x2 = 630

Divide each side by '2'.
x2 = 315

Simplifying
x2 = 315

Take the square root of each side:
x = {-17.748239349, 17.748239349}