2x^2+13x-572x=0

Solution for 2x^2+13x-572x=0 equation:

2x^2+13x-572x=0

We add all the numbers together, and all the variables

2x^2-559x=0

a = 2; b = -559; c = 0;
Δ = b2-4ac
Δ = -5592-4·2·0
Δ = 312481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{312481}=559$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-559)-559}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-559)+559}{2*2}=\frac{1118}{4}
=279+1/2
$