Solve F=x*6x*x*(-2)*x

$$F = x \times 6 x \times x \times ( - 2 ) \times x$$

Solve for F

$$F=-12x^{4}$$

Solution Steps

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

$$F=x^{2}\times 6x\left(-2\right)x$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$F=x^{3}\times 6\left(-2\right)x$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$F=x^{4}\times 6\left(-2\right)$$

Multiply 6 and -2 to get -12.

$$F=x^{4}\left(-12\right)$$

Solve for x (complex solution)

$$x=3^{\frac{3}{4}}\left(-\frac{1}{6}+\frac{1}{6}i\right)\sqrt[4]{F}$$

$$x=3^{\frac{3}{4}}\left(\frac{1}{6}+\frac{1}{6}i\right)\sqrt[4]{F}$$

$$x=3^{\frac{3}{4}}\left(-\frac{1}{6}-\frac{1}{6}i\right)\sqrt[4]{F}$$

$$x=3^{\frac{3}{4}}\left(\frac{1}{6}-\frac{1}{6}i\right)\sqrt[4]{F}$$

Solve for x

$$x=\frac{\sqrt[4]{-108F}}{6}$$

$$x=-\frac{\sqrt[4]{-108F}}{6}\text{, }F\leq 0$$