Y/2x-3x=15

Solution for Y/2x-3x=15 equation:

/2Y-3Y=15

We move all terms to the left:

/2Y-3Y-(15)=0


Domain of the equation: 2Y!=0

Y!=0/2

Y!=0

Y∈R


We add all the numbers together, and all the variables

-3Y+/2Y-15=0

We multiply all the terms by the denominator


-3Y*2Y-15*2Y+=0

We add all the numbers together, and all the variables

-3Y*2Y-15*2Y=0

Wy multiply elements

-6Y^2-30Y=0

a = -6; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·(-6)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*-6}=\frac{0}{-12}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*-6}=\frac{60}{-12}
=-5
$