0.1(0.1x+0.9)=-0.5

Solution for 0.1(0.1x+0.9)=-0.5 equation:

Simplifying
0.1(0.1x + 0.9) = -0.5

Reorder the terms:
0.1(0.9 + 0.1x) = -0.5
(0.9 * 0.1 + 0.1x * 0.1) = -0.5
(0.09 + 0.01x) = -0.5

Solving
0.09 + 0.01x = -0.5

Solving for variable 'x'.

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

Add '-0.09' to each side of the equation.
0.09 + -0.09 + 0.01x = -0.5 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + 0.01x = -0.5 + -0.09
0.01x = -0.5 + -0.09

Combine like terms: -0.5 + -0.09 = -0.59
0.01x = -0.59

Divide each side by '0.01'.
x = -59

Simplifying
x = -59