3x+17+(1/2)x-5=180

Solution for 3x+17+(1/2)x-5=180 equation:

3x+17+(1/2)x-5=180

We move all terms to the left:

3x+17+(1/2)x-5-(180)=0


Domain of the equation: 2)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3x+(+1/2)x+17-5-180=0

We add all the numbers together, and all the variables

3x+(+1/2)x-168=0

We multiply parentheses

x^2+3x-168=0

a = 1; b = 3; c = -168;
Δ = b2-4ac
Δ = 32-4·1·(-168)
Δ = 681
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{-(3)-\sqrt{681}}{2*1}=\frac{-3-\sqrt{681}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{681}}{2*1}=\frac{-3+\sqrt{681}}{2}
$