7.37x(0.5-X)=2X

Solution for 7.37x(0.5-X)=2X equation:

7.37x(0.5-x)=2x

We move all terms to the left:

7.37x(0.5-x)-(2x)=0

We add all the numbers together, and all the variables

7.37x(-1x+0.5)-2x=0

We add all the numbers together, and all the variables

-2x+7.37x(-1x+0.5)=0

We multiply parentheses

-7x^2-2x+3.5x=0

We add all the numbers together, and all the variables

-7x^2+1.5x=0

a = -7; b = 1.5; c = 0;
Δ = b2-4ac
Δ = 1.52-4·(-7)·0
Δ = 2.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.5)-\sqrt{2.25}}{2*-7}=\frac{-1.5-\sqrt{2.25}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{2.25}}{2*-7}=\frac{-1.5+\sqrt{2.25}}{-14}
$