3/5x+2/4x-2+90=180

Solution for 3/5x+2/4x-2+90=180 equation:

3/5x+2/4x-2+90=180

We move all terms to the left:

3/5x+2/4x-2+90-(180)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

3/5x+2/4x-92=0

We calculate fractions


12x/20x^2+10x/20x^2-92=0

We multiply all the terms by the denominator


12x+10x-92*20x^2=0

We add all the numbers together, and all the variables

22x-92*20x^2=0

Wy multiply elements

-1840x^2+22x=0

a = -1840; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·(-1840)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*-1840}=\frac{-44}{-3680}
=11/920
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*-1840}=\frac{0}{-3680}
=0
$