11x^2-x=130

Solution for 11x^2-x=130 equation:

11x^2-x=130

We move all terms to the left:

11x^2-x-(130)=0

We add all the numbers together, and all the variables

11x^2-1x-130=0

a = 11; b = -1; c = -130;
Δ = b2-4ac
Δ = -12-4·11·(-130)
Δ = 5721
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{5721}}{2*11}=\frac{1-\sqrt{5721}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{5721}}{2*11}=\frac{1+\sqrt{5721}}{22}
$