-4x^2+360x-80x-4000=0

Solution for -4x^2+360x-80x-4000=0 equation:

Simplifying
-4x2 + 360x + -80x + -4000 = 0

Reorder the terms:
-4000 + 360x + -80x + -4x2 = 0

Combine like terms: 360x + -80x = 280x
-4000 + 280x + -4x2 = 0

Solving
-4000 + 280x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1000 + 70x + -1x2) = 0

Factor a trinomial.
4((-50 + x)(20 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-50 + x)' equal to zero and attempt to solve:

Simplifying
-50 + x = 0

Solving
-50 + x = 0

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

Add '50' to each side of the equation.
-50 + 50 + x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + x = 0 + 50
x = 0 + 50

Combine like terms: 0 + 50 = 50
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {50, 20}