.1A+.4B+C=0

Solution for .1A+.4B+C=0 equation:

Simplifying
0.1A + 0.4B + C = 0

Solving
0.1A + 0.4B + C = 0

Solving for variable 'A'.

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

Add '-0.4B' to each side of the equation.
0.1A + 0.4B + -0.4B + C = 0 + -0.4B

Combine like terms: 0.4B + -0.4B = 0.0
0.1A + 0.0 + C = 0 + -0.4B
0.1A + C = 0 + -0.4B
Remove the zero:
0.1A + C = -0.4B

Add '-1C' to each side of the equation.
0.1A + C + -1C = -0.4B + -1C

Combine like terms: C + -1C = 0
0.1A + 0 = -0.4B + -1C
0.1A = -0.4B + -1C

Divide each side by '0.1'.
A = -4B + -10C

Simplifying
A = -4B + -10C