2x^2+20x=4000

Solution for 2x^2+20x=4000 equation:

Simplifying
2x2 + 20x = 4000

Reorder the terms:
20x + 2x2 = 4000

Solving
20x + 2x2 = 4000

Solving for variable 'x'.

Reorder the terms:
-4000 + 20x + 2x2 = 4000 + -4000

Combine like terms: 4000 + -4000 = 0
-4000 + 20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2000 + 10x + x2) = 0

Factor a trinomial.
2((-50 + -1x)(40 + -1x)) = 0

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

Simplifying
-50 + -1x = 0

Solving
-50 + -1x = 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 + -1x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1x = 0 + 50
-1x = 0 + 50

Combine like terms: 0 + 50 = 50
-1x = 50

Divide each side by '-1'.
x = -50

Simplifying
x = -50
Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40
Solution
x = {-50, 40}