Solve 49q*20%=184g/cm^6*x*9%

$$49 q \times 20 \% = 184 g / cm ^ { 6 } \times x \times 9 \%$$

Solve for c

$$\left\{\begin{matrix}c=\frac{414gxm^{6}}{245q}\text{, }&x\neq 0\text{ and }m\neq 0\text{ and }g\neq 0\text{ and }q\neq 0\\c\neq 0\text{, }&\left(g=0\text{ or }m=0\text{ or }x=0\right)\text{ and }q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100c, the least common multiple of 100,c.

$$49qc\times 20=100\times 184gm^{6}x\times \frac{9}{100}$$

Multiply 49 and 20 to get 980.

$$980qc=100\times 184gm^{6}x\times \frac{9}{100}$$

Multiply 100 and 184 to get 18400.

$$980qc=18400gm^{6}x\times \frac{9}{100}$$

Multiply 18400 and \frac{9}{100} to get 1656.

$$980qc=1656gm^{6}x$$

The equation is in standard form.

$$980qc=1656gxm^{6}$$

Divide both sides by 980q.

$$\frac{980qc}{980q}=\frac{1656gxm^{6}}{980q}$$

Dividing by 980q undoes the multiplication by 980q.

$$c=\frac{1656gxm^{6}}{980q}$$

Divide 1656gm^{6}x by 980q.

$$c=\frac{414gxm^{6}}{245q}$$

Variable c cannot be equal to 0.

$$c=\frac{414gxm^{6}}{245q}\text{, }c\neq 0$$

Solve for g

$$\left\{\begin{matrix}g=\frac{245cq}{414xm^{6}}\text{, }&x\neq 0\text{ and }m\neq 0\text{ and }c\neq 0\\g\in \mathrm{R}\text{, }&\left(x=0\text{ or }m=0\right)\text{ and }q=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100c, the least common multiple of 100,c.

$$49qc\times 20=100\times 184gm^{6}x\times \frac{9}{100}$$

Multiply 49 and 20 to get 980.

$$980qc=100\times 184gm^{6}x\times \frac{9}{100}$$

Multiply 100 and 184 to get 18400.

$$980qc=18400gm^{6}x\times \frac{9}{100}$$

Multiply 18400 and \frac{9}{100} to get 1656.

$$980qc=1656gm^{6}x$$

Swap sides so that all variable terms are on the left hand side.

$$1656gm^{6}x=980qc$$

The equation is in standard form.

$$1656xm^{6}g=980cq$$

Divide both sides by 1656m^{6}x.

$$\frac{1656xm^{6}g}{1656xm^{6}}=\frac{980cq}{1656xm^{6}}$$

Dividing by 1656m^{6}x undoes the multiplication by 1656m^{6}x.

$$g=\frac{980cq}{1656xm^{6}}$$

Divide 980qc by 1656m^{6}x.

$$g=\frac{245cq}{414xm^{6}}$$