Solve C=2(4x-1)-2x(x+6)

$$C = 2 ( 4 x - 1 ) - 2 x ( x + 6 )$$

Solve for C

$$C=-2\left(x+1\right)^{2}$$

Solution Steps

Use the distributive property to multiply 2 by 4x-1.

$$C=8x-2-2x\left(x+6\right)$$

Use the distributive property to multiply -2x by x+6.

$$C=8x-2-2x^{2}-12x$$

Combine 8x and -12x to get -4x.

$$C=-4x-2-2x^{2}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{-2C}}{2}-1$$

$$x=-\frac{\sqrt{-2C}}{2}-1$$

Solve for x

$$x=\frac{\sqrt{-2C}}{2}-1$$

$$x=-\frac{\sqrt{-2C}}{2}-1\text{, }C\leq 0$$