9.2-4w=2(3w/5)

Solution for 9.2-4w=2(3w/5) equation:

9.2-4w=2(3w/5)

We move all terms to the left:

9.2-4w-(2(3w/5))=0

We add all the numbers together, and all the variables

-4w-(2(+3w/5))+9.2=0

We multiply all the terms by the denominator


-4w*5))-(2(+3w+(9.2)*5))=0

We add all the numbers together, and all the variables

3w-4w*5))-(2(=0

Wy multiply elements

-20w^2+3w=0

a = -20; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-20)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-20}=\frac{-6}{-40}
=3/20
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-20}=\frac{0}{-40}
=0
$