x=.05x(x+20)

Solution for x=.05x(x+20) equation:

Simplifying
x = 0.05x(x + 20)

Reorder the terms:
x = 0.05x(20 + x)
x = (20 * 0.05x + x * 0.05x)
x = (1x + 0.05x2)

Solving
x = 1x + 0.05x2

Solving for variable 'x'.

Combine like terms: x + -1x = 0
0 + -0.05x2 = 1x + 0.05x2 + -1x + -0.05x2
-0.05x2 = 1x + 0.05x2 + -1x + -0.05x2

Reorder the terms:
-0.05x2 = 1x + -1x + 0.05x2 + -0.05x2

Combine like terms: 1x + -1x = 0
-0.05x2 = 0 + 0.05x2 + -0.05x2
-0.05x2 = 0.05x2 + -0.05x2

Combine like terms: 0.05x2 + -0.05x2 = 0.00
-0.05x2 = 0.00

Ignore the factor -0.05.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Solution
x = {0}