Solve 9*10^9*x*0004/3000=0016

$$\frac { 9 \cdot 10 ^ { 9 } \cdot x \cdot 0004 } { 3000 } = 0016$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Solution Steps

Multiply both sides of the equation by 3000.

$$9\times 10^{9}x\times 0\times 0\times 0\times 4=0\times 0\times 16$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16$$

Multiply 9000000000 and 0 to get 0.

$$0x\times 0\times 0\times 4=0\times 0\times 16$$

Multiply 0 and 0 to get 0.

$$0x\times 0\times 4=0\times 0\times 16$$

Multiply 0 and 0 to get 0.

$$0x\times 4=0\times 0\times 16$$

Multiply 0 and 4 to get 0.

$$0x=0\times 0\times 16$$

Anything times zero gives zero.

$$0=0\times 0\times 16$$

Multiply 0 and 0 to get 0.

$$0=0\times 16$$

Multiply 0 and 16 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{C}$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Multiply both sides of the equation by 3000.

$$9\times 10^{9}x\times 0\times 0\times 0\times 4=0\times 0\times 16$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16$$

Multiply 9000000000 and 0 to get 0.

$$0x\times 0\times 0\times 4=0\times 0\times 16$$

Multiply 0 and 0 to get 0.

$$0x\times 0\times 4=0\times 0\times 16$$

Multiply 0 and 0 to get 0.

$$0x\times 4=0\times 0\times 16$$

Multiply 0 and 4 to get 0.

$$0x=0\times 0\times 16$$

Anything times zero gives zero.

$$0=0\times 0\times 16$$

Multiply 0 and 0 to get 0.

$$0=0\times 16$$

Multiply 0 and 16 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$