Solve -6x^2=600

$$- 6 x ^ { 2 } = 600$$

Solve for x (complex solution)

$$x=-10i$$

$$x=10i$$

Steps by Finding Square Root

Divide both sides by -6.

$$x^{2}=\frac{600}{-6}$$

Divide 600 by -6 to get -100.

$$x^{2}=-100$$

The equation is now solved.

$$x=10i x=-10i$$

Steps Using the Quadratic Formula

Divide both sides by -6.

$$x^{2}=\frac{600}{-6}$$

Divide 600 by -6 to get -100.

$$x^{2}=-100$$

Add 100 to both sides.

$$x^{2}+100=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 100 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 100}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 100}}{2}$$

Multiply -4 times 100.

$$x=\frac{0±\sqrt{-400}}{2}$$

Take the square root of -400.

$$x=\frac{0±20i}{2}$$

Now solve the equation x=\frac{0±20i}{2} when ± is plus.

$$x=10i$$

Now solve the equation x=\frac{0±20i}{2} when ± is minus.

$$x=-10i$$

The equation is now solved.

$$x=10i x=-10i$$