Solve for u 1.8+0.2u=-0.1u

$1.8 + 0.2 u = - 0.1 u$

Step 1

Move all terms containing $u$ to the left side of the equation.

Add $0.1 u$ to both sides of the equation.

$1.8 + 0.2 u + 0.1 u = 0$

Add $0.2 u$ and $0.1 u$ .

$1.8 + 0.3 u = 0$

Step 2

Subtract $1.8$ from both sides of the equation.

$0.3 u = - 1.8$

Step 3

Divide each term in $0.3 u = - 1.8$ by $0.3$ and simplify.

Divide each term in $0.3 u = - 1.8$ by $0.3$ .

$\frac{0.3 u}{0.3} = \frac{- 1.8}{0.3}$

Simplify the left side.

Cancel the common factor of $0.3$ .

Cancel the common factor.

$\frac{0.3 u}{0.3} = \frac{- 1.8}{0.3}$

Divide $u$ by $1$ .

$u = \frac{- 1.8}{0.3}$

Simplify the right side.

Divide $- 1.8$ by $0.3$ .

$u = - 6$