Solve -12xdiv2x=180

$$- 12 x \div 2 x = 180$$

Solve for x (complex solution)

$$x=-\sqrt{30}i\approx -0-5.477225575i$$

$$x=\sqrt{30}i\approx 5.477225575i$$

Steps by Finding Square Root

Multiply both sides of the equation by 2.

$$-12xx=360$$

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

$$-12x^{2}=360$$

Divide both sides by -12.

$$x^{2}=\frac{360}{-12}$$

Divide 360 by -12 to get -30.

$$x^{2}=-30$$

The equation is now solved.

$$x=\sqrt{30}i x=-\sqrt{30}i$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 2.

$$-12xx=360$$

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

$$-12x^{2}=360$$

Subtract 360 from both sides.

$$-12x^{2}-360=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -12 for a, 0 for b, and -360 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-12\right)\left(-360\right)}}{2\left(-12\right)}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-12\right)\left(-360\right)}}{2\left(-12\right)}$$

Multiply -4 times -12.

$$x=\frac{0±\sqrt{48\left(-360\right)}}{2\left(-12\right)}$$

Multiply 48 times -360.

$$x=\frac{0±\sqrt{-17280}}{2\left(-12\right)}$$

Take the square root of -17280.

$$x=\frac{0±24\sqrt{30}i}{2\left(-12\right)}$$

Multiply 2 times -12.

$$x=\frac{0±24\sqrt{30}i}{-24}$$

Now solve the equation x=\frac{0±24\sqrt{30}i}{-24} when ± is plus.

$$x=-\sqrt{30}i$$

Now solve the equation x=\frac{0±24\sqrt{30}i}{-24} when ± is minus.

$$x=\sqrt{30}i$$

The equation is now solved.

$$x=-\sqrt{30}i x=\sqrt{30}i$$