Solve 2x*23=25/x*21

$$2x \times 23= \frac{ 25 }{ x \times 21 }$$

Solve for x

$$x=\frac{5\sqrt{966}}{966}\approx 0.160872363$$

$$x=-\frac{5\sqrt{966}}{966}\approx -0.160872363$$

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 21x.

$$2x\times 23\times 21x=25$$

Multiply 2 and 23 to get 46.

$$46x\times 21x=25$$

Multiply 46 and 21 to get 966.

$$966xx=25$$

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

$$966x^{2}=25$$

Divide both sides by 966.

$$x^{2}=\frac{25}{966}$$

Take the square root of both sides of the equation.

$$x=\frac{5\sqrt{966}}{966} x=-\frac{5\sqrt{966}}{966}$$

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 21x.

$$2x\times 23\times 21x=25$$

Multiply 2 and 23 to get 46.

$$46x\times 21x=25$$

Multiply 46 and 21 to get 966.

$$966xx=25$$

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

$$966x^{2}=25$$

Subtract 25 from both sides.

$$966x^{2}-25=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 966 for a, 0 for b, and -25 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 966\left(-25\right)}}{2\times 966}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 966\left(-25\right)}}{2\times 966}$$

Multiply -4 times 966.

$$x=\frac{0±\sqrt{-3864\left(-25\right)}}{2\times 966}$$

Multiply -3864 times -25.

$$x=\frac{0±\sqrt{96600}}{2\times 966}$$

Take the square root of 96600.

$$x=\frac{0±10\sqrt{966}}{2\times 966}$$

Multiply 2 times 966.

$$x=\frac{0±10\sqrt{966}}{1932}$$

Now solve the equation x=\frac{0±10\sqrt{966}}{1932} when ± is plus.

$$x=\frac{5\sqrt{966}}{966}$$

Now solve the equation x=\frac{0±10\sqrt{966}}{1932} when ± is minus.

$$x=-\frac{5\sqrt{966}}{966}$$

The equation is now solved.

$$x=\frac{5\sqrt{966}}{966} x=-\frac{5\sqrt{966}}{966}$$