Solve 3b/2*b=b^37divx

$$3 \frac { b } { 2 } \times b = b ^ { 37 } \div x$$

Solve for x

$$\left\{\begin{matrix}x=\frac{2b^{35}}{3}\text{, }&b\neq 0\\x\neq 0\text{, }&b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.

$$3xbb=2b^{37}$$

Multiply b and b to get b^{2}.

$$3xb^{2}=2b^{37}$$

The equation is in standard form.

$$3b^{2}x=2b^{37}$$

Divide both sides by 3b^{2}.

$$\frac{3b^{2}x}{3b^{2}}=\frac{2b^{37}}{3b^{2}}$$

Dividing by 3b^{2} undoes the multiplication by 3b^{2}.

$$x=\frac{2b^{37}}{3b^{2}}$$

Divide 2b^{37} by 3b^{2}.

$$x=\frac{2b^{35}}{3}$$

Variable x cannot be equal to 0.

$$x=\frac{2b^{35}}{3}\text{, }x\neq 0$$

Solve for b

$$b=\frac{2^{\frac{34}{35}}\sqrt[35]{3x}}{2}$$

$$b=0\text{, }x\neq 0$$