84,899.36=1360x^2+96.04x

Solution for 84,899.36=1360x^2+96.04x equation:

84.899.36=1360x^2+96.04x

We move all terms to the left:

84.899.36-(1360x^2+96.04x)=0

We add all the numbers together, and all the variables

-(1360x^2+96.04x)+30.56364=0

We get rid of parentheses

-1360x^2-96.04x+30.56364=0

a = -1360; b = -96.04; c = +30.56364;
Δ = b2-4ac
Δ = -96.042-4·(-1360)·30.56364
Δ = 175489.8832
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{-(-96.04)-\sqrt{175489.8832}}{2*-1360}=\frac{96.04-\sqrt{175489.8832}}{-2720}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-96.04)+\sqrt{175489.8832}}{2*-1360}=\frac{96.04+\sqrt{175489.8832}}{-2720}
$