66+x+(1/2)x+57=180

Solution for 66+x+(1/2)x+57=180 equation:

66+x+(1/2)x+57=180

We move all terms to the left:

66+x+(1/2)x+57-(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

x+(+1/2)x+66+57-180=0

We add all the numbers together, and all the variables

x+(+1/2)x-57=0

We multiply parentheses

x^2+x-57=0

a = 1; b = 1; c = -57;
Δ = b2-4ac
Δ = 12-4·1·(-57)
Δ = 229
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{-(1)-\sqrt{229}}{2*1}=\frac{-1-\sqrt{229}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{229}}{2*1}=\frac{-1+\sqrt{229}}{2}
$