3x^2-x=1200

Solution for 3x^2-x=1200 equation:

3x^2-x=1200

We move all terms to the left:

3x^2-x-(1200)=0

We add all the numbers together, and all the variables

3x^2-1x-1200=0

a = 3; b = -1; c = -1200;
Δ = b2-4ac
Δ = -12-4·3·(-1200)
Δ = 14401
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{14401}}{2*3}=\frac{1-\sqrt{14401}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{14401}}{2*3}=\frac{1+\sqrt{14401}}{6}
$