X+2x+15+14/11x=180

Solution for X+2x+15+14/11x=180 equation:

X+2X+15+14/11X=180

We move all terms to the left:

X+2X+15+14/11X-(180)=0


Domain of the equation: 11X!=0

X!=0/11

X!=0

X∈R


We add all the numbers together, and all the variables

3X+14/11X-165=0

We multiply all the terms by the denominator


3X*11X-165*11X+14=0

Wy multiply elements

33X^2-1815X+14=0

a = 33; b = -1815; c = +14;
Δ = b2-4ac
Δ = -18152-4·33·14
Δ = 3292377
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1815)-\sqrt{3292377}}{2*33}=\frac{1815-\sqrt{3292377}}{66}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1815)+\sqrt{3292377}}{2*33}=\frac{1815+\sqrt{3292377}}{66}
$