Solve 78000*120/400*left(54000+200/3200xright)=0

$$78000 \times \frac{ 120 }{ 400 } \times \left( 54000+ \frac{ 200 }{ 3200 } x \right) = 0$$

Solve for x

$$x=-864000$$

Steps for Solving Linear Equation

Reduce the fraction \frac{120}{400} to lowest terms by extracting and canceling out 40.

$$78000\times \frac{3}{10}\left(54000+\frac{200}{3200}x\right)=0$$

Express 78000\times \frac{3}{10} as a single fraction.

$$\frac{78000\times 3}{10}\left(54000+\frac{200}{3200}x\right)=0$$

Multiply 78000 and 3 to get 234000.

$$\frac{234000}{10}\left(54000+\frac{200}{3200}x\right)=0$$

Divide 234000 by 10 to get 23400.

$$23400\left(54000+\frac{200}{3200}x\right)=0$$

Reduce the fraction \frac{200}{3200} to lowest terms by extracting and canceling out 200.

$$23400\left(54000+\frac{1}{16}x\right)=0$$

Use the distributive property to multiply 23400 by 54000+\frac{1}{16}x.

$$1263600000+23400\times \frac{1}{16}x=0$$

Multiply 23400 and \frac{1}{16} to get \frac{23400}{16}.

$$1263600000+\frac{23400}{16}x=0$$

Reduce the fraction \frac{23400}{16} to lowest terms by extracting and canceling out 8.

$$1263600000+\frac{2925}{2}x=0$$

Subtract 1263600000 from both sides. Anything subtracted from zero gives its negation.

$$\frac{2925}{2}x=-1263600000$$

Multiply both sides by \frac{2}{2925}, the reciprocal of \frac{2925}{2}.

$$x=-1263600000\times \frac{2}{2925}$$

Express -1263600000\times \frac{2}{2925} as a single fraction.

$$x=\frac{-1263600000\times 2}{2925}$$

Multiply -1263600000 and 2 to get -2527200000.

$$x=\frac{-2527200000}{2925}$$

Divide -2527200000 by 2925 to get -864000.

$$x=-864000$$