Solve y=1/6(x+3)(x-7)

$$y = \frac { 1 } { 6 } ( x + 3 ) ( x - 7 )$$

Solve for y

$$y=\frac{\left(x-7\right)\left(x+3\right)}{6}$$

Solution Steps

Use the distributive property to multiply \frac{1}{6} by x+3.

$$y=\left(\frac{1}{6}x+\frac{1}{2}\right)\left(x-7\right)$$

Use the distributive property to multiply \frac{1}{6}x+\frac{1}{2} by x-7 and combine like terms.

$$y=\frac{1}{6}x^{2}-\frac{2}{3}x-\frac{7}{2}$$

Solve for x (complex solution)

$$x=\sqrt{6y+25}+2$$

$$x=-\sqrt{6y+25}+2$$

Solve for x

$$x=\sqrt{6y+25}+2$$

$$x=-\sqrt{6y+25}+2\text{, }y\geq -\frac{25}{6}$$