6x^2-16x-15=0

Solution for 6x^2-16x-15=0 equation:

6x^2-16x-15=0

a = 6; b = -16; c = -15;
Δ = b2-4ac
Δ = -162-4·6·(-15)
Δ = 616
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:

$\sqrt{\Delta}=\sqrt{616}=\sqrt{4*154}=\sqrt{4}*\sqrt{154}=2\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-2\sqrt{154}}{2*6}=\frac{16-2\sqrt{154}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+2\sqrt{154}}{2*6}=\frac{16+2\sqrt{154}}{12}
$