6w^2+19w-15=-4w

Solution for 6w^2+19w-15=-4w equation:

6w^2+19w-15=-4w

We move all terms to the left:

6w^2+19w-15-(-4w)=0

We get rid of parentheses

6w^2+19w+4w-15=0

We add all the numbers together, and all the variables

6w^2+23w-15=0

a = 6; b = 23; c = -15;
Δ = b2-4ac
Δ = 232-4·6·(-15)
Δ = 889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-\sqrt{889}}{2*6}=\frac{-23-\sqrt{889}}{12}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{889}}{2*6}=\frac{-23+\sqrt{889}}{12}
$