12.56x^2+37.68x=92.74

Solution for 12.56x^2+37.68x=92.74 equation:

12.56x^2+37.68x=92.74

We move all terms to the left:

12.56x^2+37.68x-(92.74)=0

We add all the numbers together, and all the variables

12.56x^2+37.68x-92.74=0

a = 12.56; b = 37.68; c = -92.74;
Δ = b2-4ac
Δ = 37.682-4·12.56·(-92.74)
Δ = 6079.04
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{-(37.68)-\sqrt{6079.04}}{2*12.56}=\frac{-37.68-\sqrt{6079.04}}{25.12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37.68)+\sqrt{6079.04}}{2*12.56}=\frac{-37.68+\sqrt{6079.04}}{25.12}
$