6(x*x)-15x-50=0

Solution for 6(x*x)-15x-50=0 equation:

6(x*x)-15x-50=0

We add all the numbers together, and all the variables

6(+x*x)-15x-50=0

We add all the numbers together, and all the variables

-15x+6(+x*x)-50=0

We multiply parentheses

6x^2-15x-50=0

a = 6; b = -15; c = -50;
Δ = b2-4ac
Δ = -152-4·6·(-50)
Δ = 1425
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:

$\sqrt{\Delta}=\sqrt{1425}=\sqrt{25*57}=\sqrt{25}*\sqrt{57}=5\sqrt{57}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-5\sqrt{57}}{2*6}=\frac{15-5\sqrt{57}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+5\sqrt{57}}{2*6}=\frac{15+5\sqrt{57}}{12}
$