Solve 69+w*0,5/60=72-w/b0

$$69 + \frac { w \cdot 0,5 } { 60 } = 72 - \frac { w } { b 0 }$$

Solve for b_0

$$b_{0}=-\frac{120w}{w-360}$$

$$w\neq 0\text{ and }w\neq 360$$

Steps for Solving Linear Equation

Variable b_{0} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 60b_{0}, the least common multiple of 60;b_{0}.

$$60b_{0}\times 69+b_{0}w\times 0,5=60b_{0}\times 72-60w$$

Multiply 60 and 69 to get 4140.

$$4140b_{0}+b_{0}w\times 0,5=60b_{0}\times 72-60w$$

Multiply 60 and 72 to get 4320.

$$4140b_{0}+b_{0}w\times 0,5=4320b_{0}-60w$$

Subtract 4320b_{0} from both sides.

$$4140b_{0}+b_{0}w\times 0,5-4320b_{0}=-60w$$

Combine 4140b_{0} and -4320b_{0} to get -180b_{0}.

$$-180b_{0}+b_{0}w\times 0,5=-60w$$

Combine all terms containing b_{0}.

$$\left(-180+w\times 0,5\right)b_{0}=-60w$$

The equation is in standard form.

$$\left(\frac{w}{2}-180\right)b_{0}=-60w$$

Divide both sides by -180+0,5w.

$$\frac{\left(\frac{w}{2}-180\right)b_{0}}{\frac{w}{2}-180}=-\frac{60w}{\frac{w}{2}-180}$$

Dividing by -180+0,5w undoes the multiplication by -180+0,5w.

$$b_{0}=-\frac{60w}{\frac{w}{2}-180}$$

Divide -60w by -180+0,5w.

$$b_{0}=-\frac{120w}{w-360}$$

Variable b_{0} cannot be equal to 0.

$$b_{0}=-\frac{120w}{w-360}\text{, }b_{0}\neq 0$$

Solve for w

$$w=\frac{360b_{0}}{b_{0}+120}$$

$$b_{0}\neq -120\text{ and }b_{0}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60b_{0}, the least common multiple of 60;b_{0}.

$$60b_{0}\times 69+b_{0}w\times 0,5=60b_{0}\times 72-60w$$

Multiply 60 and 69 to get 4140.

$$4140b_{0}+b_{0}w\times 0,5=60b_{0}\times 72-60w$$

Multiply 60 and 72 to get 4320.

$$4140b_{0}+b_{0}w\times 0,5=4320b_{0}-60w$$

Add 60w to both sides.

$$4140b_{0}+b_{0}w\times 0,5+60w=4320b_{0}$$

Subtract 4140b_{0} from both sides.

$$b_{0}w\times 0,5+60w=4320b_{0}-4140b_{0}$$

Combine 4320b_{0} and -4140b_{0} to get 180b_{0}.

$$b_{0}w\times 0,5+60w=180b_{0}$$

Combine all terms containing w.

$$\left(b_{0}\times 0,5+60\right)w=180b_{0}$$

The equation is in standard form.

$$\left(\frac{b_{0}}{2}+60\right)w=180b_{0}$$

Divide both sides by 0,5b_{0}+60.

$$\frac{\left(\frac{b_{0}}{2}+60\right)w}{\frac{b_{0}}{2}+60}=\frac{180b_{0}}{\frac{b_{0}}{2}+60}$$

Dividing by 0,5b_{0}+60 undoes the multiplication by 0,5b_{0}+60.

$$w=\frac{180b_{0}}{\frac{b_{0}}{2}+60}$$

Divide 180b_{0} by 0,5b_{0}+60.

$$w=\frac{360b_{0}}{b_{0}+120}$$