10x^2-12x=22

Solution for 10x^2-12x=22 equation:

10x^2-12x=22

We move all terms to the left:

10x^2-12x-(22)=0

a = 10; b = -12; c = -22;
Δ = b2-4ac
Δ = -122-4·10·(-22)
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*10}=\frac{-20}{20}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+32}{2*10}=\frac{44}{20}
=2+1/5
$