(.2+x)x=0

Solution for (.2+x)x=0 equation:

Simplifying
(0.2 + x) * x = 0

Reorder the terms for easier multiplication:
x(0.2 + x) = 0
(0.2 * x + x * x) = 0
(0.2x + x2) = 0

Solving
0.2x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(0.2 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(0.2 + x)' equal to zero and attempt to solve:

Simplifying
0.2 + x = 0

Solving
0.2 + x = 0

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + x = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + x = 0 + -0.2
x = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
x = -0.2

Simplifying
x = -0.2
Solution
x = {0, -0.2}