7x^2+98x-357=O

Solution for 7x^2+98x-357=O equation:

7x^2+98x-357=

We move all terms to the left:

7x^2+98x-357-()=0

We add all the numbers together, and all the variables

7x^2+98x=0

a = 7; b = 98; c = 0;
Δ = b2-4ac
Δ = 982-4·7·0
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(98)-98}{2*7}=\frac{-196}{14}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(98)+98}{2*7}=\frac{0}{14}
=0
$