7x^2+91x+294=0

Solution for 7x^2+91x+294=0 equation:

7x^2+91x+294=0

a = 7; b = 91; c = +294;
Δ = b2-4ac
Δ = 912-4·7·294
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(91)-7}{2*7}=\frac{-98}{14}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(91)+7}{2*7}=\frac{-84}{14}
=-6
$