7(x^2)+3x-450=0

Solution for 7(x^2)+3x-450=0 equation:

7(x^2)+3x-450=0

a = 7; b = 3; c = -450;
Δ = b2-4ac
Δ = 32-4·7·(-450)
Δ = 12609
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:

$\sqrt{\Delta}=\sqrt{12609}=\sqrt{9*1401}=\sqrt{9}*\sqrt{1401}=3\sqrt{1401}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3\sqrt{1401}}{2*7}=\frac{-3-3\sqrt{1401}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{1401}}{2*7}=\frac{-3+3\sqrt{1401}}{14}
$