2x^2+5x=294

Solution for 2x^2+5x=294 equation:

2x^2+5x=294

We move all terms to the left:

2x^2+5x-(294)=0

a = 2; b = 5; c = -294;
Δ = b2-4ac
Δ = 52-4·2·(-294)
Δ = 2377
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{-(5)-\sqrt{2377}}{2*2}=\frac{-5-\sqrt{2377}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{2377}}{2*2}=\frac{-5+\sqrt{2377}}{4}
$