Solve -5mquadm=8

$$- 5 m \quad m = 8$$

Solve for m

$$m=-\frac{2\sqrt{10}i}{5}\approx -0-1.264911064i$$

$$m=\frac{2\sqrt{10}i}{5}\approx 1.264911064i$$

Steps by Finding Square Root

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

$$-5m^{2}=8$$

Divide both sides by -5.

$$m^{2}=-\frac{8}{5}$$

The equation is now solved.

$$m=\frac{2\sqrt{10}i}{5} m=-\frac{2\sqrt{10}i}{5}$$

Steps Using the Quadratic Formula

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

$$-5m^{2}=8$$

Subtract 8 from both sides.

$$-5m^{2}-8=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -5 for a, 0 for b, and -8 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}-4\left(-5\right)\left(-8\right)}}{2\left(-5\right)}$$

Square 0.

$$m=\frac{0±\sqrt{-4\left(-5\right)\left(-8\right)}}{2\left(-5\right)}$$

Multiply -4 times -5.

$$m=\frac{0±\sqrt{20\left(-8\right)}}{2\left(-5\right)}$$

Multiply 20 times -8.

$$m=\frac{0±\sqrt{-160}}{2\left(-5\right)}$$

Take the square root of -160.

$$m=\frac{0±4\sqrt{10}i}{2\left(-5\right)}$$

Multiply 2 times -5.

$$m=\frac{0±4\sqrt{10}i}{-10}$$

Now solve the equation m=\frac{0±4\sqrt{10}i}{-10} when ± is plus.

$$m=-\frac{2\sqrt{10}i}{5}$$

Now solve the equation m=\frac{0±4\sqrt{10}i}{-10} when ± is minus.

$$m=\frac{2\sqrt{10}i}{5}$$

The equation is now solved.

$$m=-\frac{2\sqrt{10}i}{5} m=\frac{2\sqrt{10}i}{5}$$