6x^+13x^2-5x=0

Solution for 6x^+13x^2-5x=0 equation:

6x^+13x^2-5x=0

We add all the numbers together, and all the variables

13x^2+x=0

a = 13; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·13·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*13}=\frac{-2}{26}
=-1/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*13}=\frac{0}{26}
=0
$