Solve 2divx=xdiv8

$$2 \div x = x \div 8$$

Solve for x

$$x=4$$

$$x=-4$$

Steps by Finding Square Root

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of x,8.

$$8\times 2=xx$$

Multiply x and x to get x^{2}.

$$8\times 2=x^{2}$$

Multiply 8 and 2 to get 16.

$$16=x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=16$$

Take the square root of both sides of the equation.

$$x=4 x=-4$$

Steps Using the Quadratic Formula

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of x,8.

$$8\times 2=xx$$

Multiply x and x to get x^{2}.

$$8\times 2=x^{2}$$

Multiply 8 and 2 to get 16.

$$16=x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=16$$

Subtract 16 from both sides.

$$x^{2}-16=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -16 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-16\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-16\right)}}{2}$$

Multiply -4 times -16.

$$x=\frac{0±\sqrt{64}}{2}$$

Take the square root of 64.

$$x=\frac{0±8}{2}$$

Now solve the equation x=\frac{0±8}{2} when ± is plus. Divide 8 by 2.

$$x=4$$

Now solve the equation x=\frac{0±8}{2} when ± is minus. Divide -8 by 2.

$$x=-4$$

The equation is now solved.

$$x=4 x=-4$$