x=-180(x-4)(x+9)

Solution for x=-180(x-4)(x+9) equation:

Simplifying
x = -180(x + -4)(x + 9)

Reorder the terms:
x = -180(-4 + x)(x + 9)

Reorder the terms:
x = -180(-4 + x)(9 + x)

Multiply (-4 + x) * (9 + x)
x = -180(-4(9 + x) + x(9 + x))
x = -180((9 * -4 + x * -4) + x(9 + x))
x = -180((-36 + -4x) + x(9 + x))
x = -180(-36 + -4x + (9 * x + x * x))
x = -180(-36 + -4x + (9x + x2))

Combine like terms: -4x + 9x = 5x
x = -180(-36 + 5x + x2)
x = (-36 * -180 + 5x * -180 + x2 * -180)
x = (6480 + -900x + -180x2)

Solving
x = 6480 + -900x + -180x2

Solving for variable 'x'.

Reorder the terms:
-6480 + x + 900x + 180x2 = 6480 + -900x + -180x2 + -6480 + 900x + 180x2

Combine like terms: x + 900x = 901x
-6480 + 901x + 180x2 = 6480 + -900x + -180x2 + -6480 + 900x + 180x2

Reorder the terms:
-6480 + 901x + 180x2 = 6480 + -6480 + -900x + 900x + -180x2 + 180x2

Combine like terms: 6480 + -6480 = 0
-6480 + 901x + 180x2 = 0 + -900x + 900x + -180x2 + 180x2
-6480 + 901x + 180x2 = -900x + 900x + -180x2 + 180x2

Combine like terms: -900x + 900x = 0
-6480 + 901x + 180x2 = 0 + -180x2 + 180x2
-6480 + 901x + 180x2 = -180x2 + 180x2

Combine like terms: -180x2 + 180x2 = 0
-6480 + 901x + 180x2 = 0

Begin completing the square.  Divide all terms by
180 the coefficient of the squared term: 

Divide each side by '180'.
-36 + 5.005555556x + x2 = 0

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + 5.005555556x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + 5.005555556x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 5.005555556x + x2 = 0 + 36
5.005555556x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
5.005555556x + x2 = 36

The x term is 5.005555556x.  Take half its coefficient (2.502777778).
Square it (6.263896606) and add it to both sides.

Add '6.263896606' to each side of the equation.
5.005555556x + 6.263896606 + x2 = 36 + 6.263896606

Reorder the terms:
6.263896606 + 5.005555556x + x2 = 36 + 6.263896606

Combine like terms: 36 + 6.263896606 = 42.263896606
6.263896606 + 5.005555556x + x2 = 42.263896606

Factor a perfect square on the left side:
(x + 2.502777778)(x + 2.502777778) = 42.263896606

Calculate the square root of the right side: 6.501068882

Break this problem into two subproblems by setting 
(x + 2.502777778) equal to 6.501068882 and -6.501068882.

Subproblem 1
x + 2.502777778 = 6.501068882

Simplifying
x + 2.502777778 = 6.501068882

Reorder the terms:
2.502777778 + x = 6.501068882

Solving
2.502777778 + x = 6.501068882

Solving for variable 'x'.

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

Add '-2.502777778' to each side of the equation.
2.502777778 + -2.502777778 + x = 6.501068882 + -2.502777778

Combine like terms: 2.502777778 + -2.502777778 = 0.000000000
0.000000000 + x = 6.501068882 + -2.502777778
x = 6.501068882 + -2.502777778

Combine like terms: 6.501068882 + -2.502777778 = 3.998291104
x = 3.998291104

Simplifying
x = 3.998291104

Subproblem 2
x + 2.502777778 = -6.501068882

Simplifying
x + 2.502777778 = -6.501068882

Reorder the terms:
2.502777778 + x = -6.501068882

Solving
2.502777778 + x = -6.501068882

Solving for variable 'x'.

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

Add '-2.502777778' to each side of the equation.
2.502777778 + -2.502777778 + x = -6.501068882 + -2.502777778

Combine like terms: 2.502777778 + -2.502777778 = 0.000000000
0.000000000 + x = -6.501068882 + -2.502777778
x = -6.501068882 + -2.502777778

Combine like terms: -6.501068882 + -2.502777778 = -9.00384666
x = -9.00384666

Simplifying
x = -9.00384666

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.998291104, -9.00384666}