196x2=-588x

Solution for 196x2=-588x equation:

196x^2=-588x

We move all terms to the left:

196x^2-(-588x)=0

We get rid of parentheses

196x^2+588x=0

a = 196; b = 588; c = 0;
Δ = b2-4ac
Δ = 5882-4·196·0
Δ = 345744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{345744}=588$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(588)-588}{2*196}=\frac{-1176}{392}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(588)+588}{2*196}=\frac{0}{392}
=0
$