37y=4(9y/3)

Solution for 37y=4(9y/3) equation:

37y=4(9y/3)

We move all terms to the left:

37y-(4(9y/3))=0

We add all the numbers together, and all the variables

37y-(4(+9y/3))=0

We multiply all the terms by the denominator


37y*3))-(4(+9y=0

We add all the numbers together, and all the variables

9y+37y*3))-(4(=0

Wy multiply elements

111y^2+9y=0

a = 111; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·111·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*111}=\frac{-18}{222}
=-3/37
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*111}=\frac{0}{222}
=0
$