6x^2+16x=687

Solution for 6x^2+16x=687 equation:

6x^2+16x=687

We move all terms to the left:

6x^2+16x-(687)=0

a = 6; b = 16; c = -687;
Δ = b2-4ac
Δ = 162-4·6·(-687)
Δ = 16744
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:

$\sqrt{\Delta}=\sqrt{16744}=\sqrt{4*4186}=\sqrt{4}*\sqrt{4186}=2\sqrt{4186}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{4186}}{2*6}=\frac{-16-2\sqrt{4186}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{4186}}{2*6}=\frac{-16+2\sqrt{4186}}{12}
$