Solve 2x^4divx^2=2x^2

$$2 x ^ { 4 } \div x ^ { 2 } = 2 x ^ { 2 }$$

Solve for x

$$x\neq 0$$

Solution Steps

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x^{2}.

$$2x^{4}=2x^{2}x^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$2x^{4}=2x^{4}$$

Subtract 2x^{4} from both sides.

$$2x^{4}-2x^{4}=0$$

Combine 2x^{4} and -2x^{4} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

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

Variable x cannot be equal to 0.

$$x\in \mathrm{R}\setminus 0$$