7x^2+158x-69=0

Solution for 7x^2+158x-69=0 equation:

7x^2+158x-69=0

a = 7; b = 158; c = -69;
Δ = b2-4ac
Δ = 1582-4·7·(-69)
Δ = 26896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26896}=164$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(158)-164}{2*7}=\frac{-322}{14}
=-23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(158)+164}{2*7}=\frac{6}{14}
=3/7
$