6x^2+5x=56

Solution for 6x^2+5x=56 equation:

6x^2+5x=56

We move all terms to the left:

6x^2+5x-(56)=0

a = 6; b = 5; c = -56;
Δ = b2-4ac
Δ = 52-4·6·(-56)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-37}{2*6}=\frac{-42}{12}
=-3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+37}{2*6}=\frac{32}{12}
=2+2/3
$