7x^2+-32x-59=0

Solution for 7x^2+-32x-59=0 equation:

7x^2+-32x-59=0

We add all the numbers together, and all the variables

7x^2-32x=0

a = 7; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·7·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*7}=\frac{0}{14}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*7}=\frac{64}{14}
=4+4/7
$