2x^2-12x=110

Solution for 2x^2-12x=110 equation:

2x^2-12x=110

We move all terms to the left:

2x^2-12x-(110)=0

a = 2; b = -12; c = -110;
Δ = b2-4ac
Δ = -122-4·2·(-110)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-32}{2*2}=\frac{-20}{4}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+32}{2*2}=\frac{44}{4}
=11
$