Solve 028x-012x=016(096-x)

$$028 x - 012 x = 016 ( 096 - x )$$

Solve for x (complex solution)

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

Solution Steps

Multiply 0 and 28 to get 0.

$$0x-0\times 12x=0\times 16\left(0\times 96-x\right)$$

Anything times zero gives zero.

$$0-0\times 12x=0\times 16\left(0\times 96-x\right)$$

Multiply 0 and 12 to get 0.

$$0-0x=0\times 16\left(0\times 96-x\right)$$

Anything times zero gives zero.

$$0-0=0\times 16\left(0\times 96-x\right)$$

Subtracting 0 from itself leaves 0.

$$0=0\times 16\left(0\times 96-x\right)$$

Multiply 0 and 16 to get 0.

$$0=0\left(0\times 96-x\right)$$

Multiply 0 and 96 to get 0.

$$0=0\left(0-x\right)$$

Anything plus zero gives itself.

$$0=0\left(-1\right)x$$

Multiply 0 and -1 to get 0.

$$0=0x$$

Anything times zero gives zero.

$$0=0$$

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 0 and 28 to get 0.

$$0x-0\times 12x=0\times 16\left(0\times 96-x\right)$$

Anything times zero gives zero.

$$0-0\times 12x=0\times 16\left(0\times 96-x\right)$$

Multiply 0 and 12 to get 0.

$$0-0x=0\times 16\left(0\times 96-x\right)$$

Anything times zero gives zero.

$$0-0=0\times 16\left(0\times 96-x\right)$$

Subtracting 0 from itself leaves 0.

$$0=0\times 16\left(0\times 96-x\right)$$

Multiply 0 and 16 to get 0.

$$0=0\left(0\times 96-x\right)$$

Multiply 0 and 96 to get 0.

$$0=0\left(0-x\right)$$

Anything plus zero gives itself.

$$0=0\left(-1\right)x$$

Multiply 0 and -1 to get 0.

$$0=0x$$

Anything times zero gives zero.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

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