x^2+7x+6=8x+64

Solution for x^2+7x+6=8x+64 equation:

x^2+7x+6=8x+64

We move all terms to the left:

x^2+7x+6-(8x+64)=0

We get rid of parentheses

x^2+7x-8x-64+6=0

We add all the numbers together, and all the variables

x^2-1x-58=0

a = 1; b = -1; c = -58;
Δ = b2-4ac
Δ = -12-4·1·(-58)
Δ = 233
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{233}}{2*1}=\frac{1-\sqrt{233}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{233}}{2*1}=\frac{1+\sqrt{233}}{2}
$