5x^2-6x-62=-6

Solution for 5x^2-6x-62=-6 equation:

5x^2-6x-62=-6

We move all terms to the left:

5x^2-6x-62-(-6)=0

We add all the numbers together, and all the variables

5x^2-6x-56=0

a = 5; b = -6; c = -56;
Δ = b2-4ac
Δ = -62-4·5·(-56)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-34}{2*5}=\frac{-28}{10}
=-2+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+34}{2*5}=\frac{40}{10}
=4
$