6x^2+31x+18=-

Solution for 6x^2+31x+18=- equation:

6x^2+31x+18=-

We move all terms to the left:

6x^2+31x+18-(-)=0

We add all the numbers together, and all the variables

6x^2+31x+18-0=0

We add all the numbers together, and all the variables

6x^2+31x+18=0

a = 6; b = 31; c = +18;
Δ = b2-4ac
Δ = 312-4·6·18
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-23}{2*6}=\frac{-54}{12}
=-4+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+23}{2*6}=\frac{-8}{12}
=-2/3
$