Solve f=32x(12/2x)/2

$$f = \frac { 32 x ( 12 / 2 x ) } { 2 }$$

Solve for f

$$f=96x^{2}$$

Solution Steps

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

$$f=\frac{32x^{2}\times \frac{12}{2}}{2}$$

Divide 12 by 2 to get 6.

$$f=\frac{32x^{2}\times 6}{2}$$

Multiply 32 and 6 to get 192.

$$f=\frac{192x^{2}}{2}$$

Divide 192x^{2} by 2 to get 96x^{2}.

$$f=96x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{6f}}{24}$$

$$x=\frac{\sqrt{6f}}{24}$$

Solve for x

$$x=\frac{\sqrt{6f}}{24}$$

$$x=-\frac{\sqrt{6f}}{24}\text{, }f\geq 0$$