Solve 4x(-93/4x)=22

$$4x( \frac{ -93 }{ 4 } x)=22$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{2046}i}{93}\approx -0-0.486373457i$$

$$x=\frac{\sqrt{2046}i}{93}\approx 0.486373457i$$

Steps by Finding Square Root

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

$$4x^{2}\times \frac{-93}{4}=22$$

Fraction \frac{-93}{4} can be rewritten as -\frac{93}{4} by extracting the negative sign.

$$4x^{2}\left(-\frac{93}{4}\right)=22$$

Cancel out 4 and 4.

$$-93x^{2}=22$$

Divide both sides by -93.

$$x^{2}=-\frac{22}{93}$$

The equation is now solved.

$$x=\frac{\sqrt{2046}i}{93} x=-\frac{\sqrt{2046}i}{93}$$

Steps Using the Quadratic Formula

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

$$4x^{2}\times \frac{-93}{4}=22$$

Fraction \frac{-93}{4} can be rewritten as -\frac{93}{4} by extracting the negative sign.

$$4x^{2}\left(-\frac{93}{4}\right)=22$$

Cancel out 4 and 4.

$$-93x^{2}=22$$

Subtract 22 from both sides.

$$-93x^{2}-22=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -93 for a, 0 for b, and -22 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-93\right)\left(-22\right)}}{2\left(-93\right)}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-93\right)\left(-22\right)}}{2\left(-93\right)}$$

Multiply -4 times -93.

$$x=\frac{0±\sqrt{372\left(-22\right)}}{2\left(-93\right)}$$

Multiply 372 times -22.

$$x=\frac{0±\sqrt{-8184}}{2\left(-93\right)}$$

Take the square root of -8184.

$$x=\frac{0±2\sqrt{2046}i}{2\left(-93\right)}$$

Multiply 2 times -93.

$$x=\frac{0±2\sqrt{2046}i}{-186}$$

Now solve the equation x=\frac{0±2\sqrt{2046}i}{-186} when ± is plus.

$$x=-\frac{\sqrt{2046}i}{93}$$

Now solve the equation x=\frac{0±2\sqrt{2046}i}{-186} when ± is minus.

$$x=\frac{\sqrt{2046}i}{93}$$

The equation is now solved.

$$x=-\frac{\sqrt{2046}i}{93} x=\frac{\sqrt{2046}i}{93}$$