13x^2=-2x

Solution for 13x^2=-2x equation:

13x^2=-2x

We move all terms to the left:

13x^2-(-2x)=0

We get rid of parentheses

13x^2+2x=0

a = 13; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·13·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*13}=\frac{-4}{26}
=-2/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*13}=\frac{0}{26}
=0
$