Solve 28x=-672/x

$$28x= \frac{ -672 }{ x }$$

Solve for x (complex solution)

$$x=-2\sqrt{6}i\approx -0-4.898979486i$$

$$x=2\sqrt{6}i\approx 4.898979486i$$

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 x.

$$28xx=-672$$

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

$$28x^{2}=-672$$

Divide both sides by 28.

$$x^{2}=\frac{-672}{28}$$

Divide -672 by 28 to get -24.

$$x^{2}=-24$$

The equation is now solved.

$$x=2\sqrt{6}i x=-2\sqrt{6}i$$

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 x.

$$28xx=-672$$

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

$$28x^{2}=-672$$

Add 672 to both sides.

$$28x^{2}+672=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 28 for a, 0 for b, and 672 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\times 672}}{2\times 28}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 28\times 672}}{2\times 28}$$

Multiply -4 times 28.

$$x=\frac{0±\sqrt{-112\times 672}}{2\times 28}$$

Multiply -112 times 672.

$$x=\frac{0±\sqrt{-75264}}{2\times 28}$$

Take the square root of -75264.

$$x=\frac{0±112\sqrt{6}i}{2\times 28}$$

Multiply 2 times 28.

$$x=\frac{0±112\sqrt{6}i}{56}$$

Now solve the equation x=\frac{0±112\sqrt{6}i}{56} when ± is plus.

$$x=2\sqrt{6}i$$

Now solve the equation x=\frac{0±112\sqrt{6}i}{56} when ± is minus.

$$x=-2\sqrt{6}i$$

The equation is now solved.

$$x=2\sqrt{6}i x=-2\sqrt{6}i$$