28x^2-131x+76=8390

Solution for 28x^2-131x+76=8390 equation:

28x^2-131x+76=8390

We move all terms to the left:

28x^2-131x+76-(8390)=0

We add all the numbers together, and all the variables

28x^2-131x-8314=0

a = 28; b = -131; c = -8314;
Δ = b2-4ac
Δ = -1312-4·28·(-8314)
Δ = 948329
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{-(-131)-\sqrt{948329}}{2*28}=\frac{131-\sqrt{948329}}{56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-131)+\sqrt{948329}}{2*28}=\frac{131+\sqrt{948329}}{56}
$