40x^2+600x-4000=0

Solution for 40x^2+600x-4000=0 equation:

Simplifying
40x2 + 600x + -4000 = 0

Reorder the terms:
-4000 + 600x + 40x2 = 0

Solving
-4000 + 600x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '40'.
40(-100 + 15x + x2) = 0

Factor a trinomial.
40((-20 + -1x)(5 + -1x)) = 0

Ignore the factor 40.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-20, 5}