Solve 27/x=3x

$$\frac{ 27 }{ x } = 3x$$

Solve for x

$$x=3$$

$$x=-3$$

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 x.

$$27=3xx$$

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

$$27=3x^{2}$$

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

$$3x^{2}=27$$

Divide both sides by 3.

$$x^{2}=\frac{27}{3}$$

Divide 27 by 3 to get 9.

$$x^{2}=9$$

Take the square root of both sides of the equation.

$$x=3 x=-3$$

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 x.

$$27=3xx$$

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

$$27=3x^{2}$$

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

$$3x^{2}=27$$

Subtract 27 from both sides.

$$3x^{2}-27=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 3 for a, 0 for b, and -27 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-27\right)}}{2\times 3}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 3\left(-27\right)}}{2\times 3}$$

Multiply -4 times 3.

$$x=\frac{0±\sqrt{-12\left(-27\right)}}{2\times 3}$$

Multiply -12 times -27.

$$x=\frac{0±\sqrt{324}}{2\times 3}$$

Take the square root of 324.

$$x=\frac{0±18}{2\times 3}$$

Multiply 2 times 3.

$$x=\frac{0±18}{6}$$

Now solve the equation x=\frac{0±18}{6} when ± is plus. Divide 18 by 6.

$$x=3$$

Now solve the equation x=\frac{0±18}{6} when ± is minus. Divide -18 by 6.

$$x=-3$$

The equation is now solved.

$$x=3 x=-3$$