15x^2=-14x

Solution for 15x^2=-14x equation:

15x^2=-14x

We move all terms to the left:

15x^2-(-14x)=0

We get rid of parentheses

15x^2+14x=0

a = 15; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·15·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*15}=\frac{-28}{30}
=-14/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*15}=\frac{0}{30}
=0
$