10x^2=22-x

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

10x^2=22-x

We move all terms to the left:

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

We add all the numbers together, and all the variables

10x^2-(-1x+22)=0

We get rid of parentheses

10x^2+1x-22=0

We add all the numbers together, and all the variables

10x^2+x-22=0

a = 10; b = 1; c = -22;
Δ = b2-4ac
Δ = 12-4·10·(-22)
Δ = 881
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{881}}{2*10}=\frac{-1-\sqrt{881}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{881}}{2*10}=\frac{-1+\sqrt{881}}{20}
$