Solve 54divx=6*x

$$54 \div x = 6 \times x$$

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.

$$54=6xx$$

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

$$54=6x^{2}$$

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

$$6x^{2}=54$$

Divide both sides by 6.

$$x^{2}=\frac{54}{6}$$

Divide 54 by 6 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.

$$54=6xx$$

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

$$54=6x^{2}$$

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

$$6x^{2}=54$$

Subtract 54 from both sides.

$$6x^{2}-54=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 6 for a, 0 for b, and -54 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-54\right)}}{2\times 6}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-54\right)}}{2\times 6}$$

Multiply -4 times 6.

$$x=\frac{0±\sqrt{-24\left(-54\right)}}{2\times 6}$$

Multiply -24 times -54.

$$x=\frac{0±\sqrt{1296}}{2\times 6}$$

Take the square root of 1296.

$$x=\frac{0±36}{2\times 6}$$

Multiply 2 times 6.

$$x=\frac{0±36}{12}$$

Now solve the equation x=\frac{0±36}{12} when ± is plus. Divide 36 by 12.

$$x=3$$

Now solve the equation x=\frac{0±36}{12} when ± is minus. Divide -36 by 12.

$$x=-3$$

The equation is now solved.

$$x=3 x=-3$$