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

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

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

We move all terms to the left:

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

6x^2+23x-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:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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