(x+40)(x-40)=180

Solution for (x+40)(x-40)=180 equation:

Simplifying
(x + 40)(x + -40) = 180

Reorder the terms:
(40 + x)(x + -40) = 180

Reorder the terms:
(40 + x)(-40 + x) = 180

Multiply (40 + x) * (-40 + x)
(40(-40 + x) + x(-40 + x)) = 180
((-40 * 40 + x * 40) + x(-40 + x)) = 180
((-1600 + 40x) + x(-40 + x)) = 180
(-1600 + 40x + (-40 * x + x * x)) = 180
(-1600 + 40x + (-40x + x2)) = 180

Combine like terms: 40x + -40x = 0
(-1600 + 0 + x2) = 180
(-1600 + x2) = 180

Solving
-1600 + x2 = 180

Solving for variable 'x'.

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

Add '1600' to each side of the equation.
-1600 + 1600 + x2 = 180 + 1600

Combine like terms: -1600 + 1600 = 0
0 + x2 = 180 + 1600
x2 = 180 + 1600

Combine like terms: 180 + 1600 = 1780
x2 = 1780

Simplifying
x2 = 1780

Take the square root of each side:
x = {-42.190046219, 42.190046219}