/4x+5x+3x=180

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

/4x+5x+3x=180

We move all terms to the left:

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


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

8x+/4x-180=0

We multiply all the terms by the denominator


8x*4x-180*4x+=0

We add all the numbers together, and all the variables

8x*4x-180*4x=0

Wy multiply elements

32x^2-720x=0

a = 32; b = -720; c = 0;
Δ = b2-4ac
Δ = -7202-4·32·0
Δ = 518400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{518400}=720$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-720)-720}{2*32}=\frac{0}{64}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-720)+720}{2*32}=\frac{1440}{64}
=22+1/2
$