4.22x^2+14.21x+16.4=73.423

Solution for 4.22x^2+14.21x+16.4=73.423 equation:

4.22x^2+14.21x+16.4=73.423

We move all terms to the left:

4.22x^2+14.21x+16.4-(73.423)=0

We add all the numbers together, and all the variables

4.22x^2+14.21x-57.023=0

a = 4.22; b = 14.21; c = -57.023;
Δ = b2-4ac
Δ = 14.212-4·4.22·(-57.023)
Δ = 1164.47234
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{-(14.21)-\sqrt{1164.47234}}{2*4.22}=\frac{-14.21-\sqrt{1164.47234}}{8.44}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14.21)+\sqrt{1164.47234}}{2*4.22}=\frac{-14.21+\sqrt{1164.47234}}{8.44}
$