(5x+6=-49-6x)X=

Solution for (5x+6=-49-6x)X= equation:

(5x+6=-49-6x)x=

We move all terms to the left:

(5x+6-(-49-6x)x)=0

We add all the numbers together, and all the variables

(5x+6-(-6x-49)x)=0


We calculate terms in parentheses: +(5x+6-(-6x-49)x), so:

5x+6-(-6x-49)x

determiningTheFunctionDomain
5x-(-6x-49)x+6

We multiply parentheses

6x^2+5x+49x+6

We add all the numbers together, and all the variables

6x^2+54x+6

Back to the equation:

+(6x^2+54x+6)


We get rid of parentheses

6x^2+54x+6=0

a = 6; b = 54; c = +6;
Δ = b2-4ac
Δ = 542-4·6·6
Δ = 2772
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:

$\sqrt{\Delta}=\sqrt{2772}=\sqrt{36*77}=\sqrt{36}*\sqrt{77}=6\sqrt{77}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-6\sqrt{77}}{2*6}=\frac{-54-6\sqrt{77}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+6\sqrt{77}}{2*6}=\frac{-54+6\sqrt{77}}{12}
$