3x2+10x=-6

Solution for 3x2+10x=-6 equation:

3x^2+10x=-6

We move all terms to the left:

3x^2+10x-(-6)=0

We add all the numbers together, and all the variables

3x^2+10x+6=0

a = 3; b = 10; c = +6;
Δ = b2-4ac
Δ = 102-4·3·6
Δ = 28
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{28}=\sqrt{4*7}=\sqrt{4}*\sqrt{7}=2\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{7}}{2*3}=\frac{-10-2\sqrt{7}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{7}}{2*3}=\frac{-10+2\sqrt{7}}{6}
$