Y=2.3x-3/4x=44

Solution for Y=2.3x-3/4x=44 equation:

=2.3Y-3/4Y=44

We move all terms to the left:

-(2.3Y-3/4Y)=0


Domain of the equation: 4Y)!=0

Y!=0/1

Y!=0

Y∈R


We add all the numbers together, and all the variables

-(+2.3Y-3/4Y)=0

We get rid of parentheses

-2.3Y+3/4Y=0

We multiply all the terms by the denominator


-(2.3Y)*4Y+3=0

We add all the numbers together, and all the variables

-(+2.3Y)*4Y+3=0

We multiply parentheses

-8Y^2+3=0

a = -8; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-8)·3
Δ = 96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{6}}{2*-8}=\frac{0-4\sqrt{6}}{-16}
=-\frac{4\sqrt{6}}{-16}
=-\frac{\sqrt{6}}{-4}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{6}}{2*-8}=\frac{0+4\sqrt{6}}{-16}
=\frac{4\sqrt{6}}{-16}
=\frac{\sqrt{6}}{-4}
$