8x^2+3x-13x^2+10x^2-25x-x=0

Solution for 8x^2+3x-13x^2+10x^2-25x-x=0 equation:

8x^2+3x-13x^2+10x^2-25x-x=0

We add all the numbers together, and all the variables

5x^2-23x=0

a = 5; b = -23; c = 0;
Δ = b2-4ac
Δ = -232-4·5·0
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-23}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+23}{2*5}=\frac{46}{10}
=4+3/5
$