3x^2+4x=79

Solution for 3x^2+4x=79 equation:

3x^2+4x=79

We move all terms to the left:

3x^2+4x-(79)=0

a = 3; b = 4; c = -79;
Δ = b2-4ac
Δ = 42-4·3·(-79)
Δ = 964
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:

$\sqrt{\Delta}=\sqrt{964}=\sqrt{4*241}=\sqrt{4}*\sqrt{241}=2\sqrt{241}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{241}}{2*3}=\frac{-4-2\sqrt{241}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{241}}{2*3}=\frac{-4+2\sqrt{241}}{6}
$