-6+8(6x+2)x=

Solution for -6+8(6x+2)x= equation:

-6+8(6x+2)x=

We move all terms to the left:

-6+8(6x+2)x-()=0

We add all the numbers together, and all the variables

8(6x+2)x=0

We multiply parentheses

48x^2+16x=0

a = 48; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·48·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*48}=\frac{-32}{96}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*48}=\frac{0}{96}
=0
$