Variation is a linear equation in which the ratio of the value of the variables
remains constant.

No real solution

Step-by-step explanation:

Let's solve your equation step-by-step.

4(1−x)(2)x=3(x+1)

Step 1: Simplify both sides of the equation.

−8x2+8x=3x+3

Step 2: Subtract 3x+3 from both sides.

−8x2+8x−(3x+3)=3x+3−(3x+3)

−8x2+5x−3=0

For this equation: a=-8, b=5, c=-3

−8x2+5x+−3=0

Step 3: Use quadratic formula with a=-8, b=5, c=-3.

x=

−b±√b2−4ac

2a

x=

−(5)±√(5)2−4(−8)(−3)

2(−8)

x=

−5±√−71

−16