Solve 0528(1-95x)-051(1-5x)=049(1-5x)-049(1-95x)

$$0528(1-95x)-051(1-5x)=049(1-5x)-049(1-95x)$$

Solve for x (complex solution)

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

Solution Steps

Multiply 0 and 528 to get 0.

$$0\left(1-95x\right)-0\times 51\left(1-5x\right)=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Anything times zero gives zero.

$$0-0\times 51\left(1-5x\right)=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Multiply 0 and 51 to get 0.

$$0-0\left(1-5x\right)=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Anything times zero gives zero.

$$0-0=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Subtracting 0 from itself leaves 0.

$$0=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Multiply 0 and 49 to get 0.

$$0=0\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Anything times zero gives zero.

$$0=0-0\times 49\left(1-95x\right)$$

Multiply 0 and 49 to get 0.

$$0=0-0\left(1-95x\right)$$

Anything times zero gives zero.

$$0=0-0$$

Subtracting 0 from itself leaves 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 0 and 528 to get 0.

$$0\left(1-95x\right)-0\times 51\left(1-5x\right)=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Anything times zero gives zero.

$$0-0\times 51\left(1-5x\right)=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Multiply 0 and 51 to get 0.

$$0-0\left(1-5x\right)=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Anything times zero gives zero.

$$0-0=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Subtracting 0 from itself leaves 0.

$$0=0\times 49\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Multiply 0 and 49 to get 0.

$$0=0\left(1-5x\right)-0\times 49\left(1-95x\right)$$

Anything times zero gives zero.

$$0=0-0\times 49\left(1-95x\right)$$

Multiply 0 and 49 to get 0.

$$0=0-0\left(1-95x\right)$$

Anything times zero gives zero.

$$0=0-0$$

Subtracting 0 from itself leaves 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

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