Solve x^2+3=2x^2+3-x^2

$$x ^ { 2 } + 3 = 2 x ^ { 2 } + 3 - x ^ { 2 }$$

Solve for x (complex solution)

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

Solution Steps

Combine 2x^{2} and -x^{2} to get x^{2}.

$$x^{2}+3=x^{2}+3$$

Subtract x^{2} from both sides.

$$x^{2}+3-x^{2}=3$$

Combine x^{2} and -x^{2} to get 0.

$$3=3$$

Compare 3 and 3.

$$\text{true}$$

This is true for any x.

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

Solve for x

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

Solution Steps

Combine 2x^{2} and -x^{2} to get x^{2}.

$$x^{2}+3=x^{2}+3$$

Subtract x^{2} from both sides.

$$x^{2}+3-x^{2}=3$$

Combine x^{2} and -x^{2} to get 0.

$$3=3$$

Compare 3 and 3.

$$\text{true}$$

This is true for any x.

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