6x2+28x-2=2x-10

Solution for 6x2+28x-2=2x-10 equation:

6x^2+28x-2=2x-10

We move all terms to the left:

6x^2+28x-2-(2x-10)=0

We get rid of parentheses

6x^2+28x-2x+10-2=0

We add all the numbers together, and all the variables

6x^2+26x+8=0

a = 6; b = 26; c = +8;
Δ = b2-4ac
Δ = 262-4·6·8
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-22}{2*6}=\frac{-48}{12}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+22}{2*6}=\frac{-4}{12}
=-1/3
$