400=2x^2+20x

Solution for 400=2x^2+20x equation:

Simplifying
400 = 2x2 + 20x

Reorder the terms:
400 = 20x + 2x2

Solving
400 = 20x + 2x2

Solving for variable 'x'.

Reorder the terms:
400 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2

Combine like terms: 20x + -20x = 0
400 + -20x + -2x2 = 0 + 2x2 + -2x2
400 + -20x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
400 + -20x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(200 + -10x + -1x2) = 0

Factor a trinomial.
2((10 + -1x)(20 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 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 + x = 0 + -20

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

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

Simplifying
x = -20
Solution
x = {10, -20}