12x(2)=x+60

Solution for 12x(2)=x+60 equation:

12x(2)=x+60

We move all terms to the left:

12x(2)-(x+60)=0

We add all the numbers together, and all the variables

12x^2-(x+60)=0

We get rid of parentheses

12x^2-x-60=0

We add all the numbers together, and all the variables

12x^2-1x-60=0

a = 12; b = -1; c = -60;
Δ = b2-4ac
Δ = -12-4·12·(-60)
Δ = 2881
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{2881}}{2*12}=\frac{1-\sqrt{2881}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2881}}{2*12}=\frac{1+\sqrt{2881}}{24}
$