7x^2+3x-306=0

Solution for 7x^2+3x-306=0 equation:

7x^2+3x-306=0

a = 7; b = 3; c = -306;
Δ = b2-4ac
Δ = 32-4·7·(-306)
Δ = 8577
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8577}=\sqrt{9*953}=\sqrt{9}*\sqrt{953}=3\sqrt{953}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3\sqrt{953}}{2*7}=\frac{-3-3\sqrt{953}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{953}}{2*7}=\frac{-3+3\sqrt{953}}{14}
$