8(x+7)=x(6-4)

Solution for 8(x+7)=x(6-4) equation:

8(x+7)=x(6-4)

We move all terms to the left:

8(x+7)-(x(6-4))=0

We add all the numbers together, and all the variables

8(x+7)-(x2)=0

We add all the numbers together, and all the variables

-1x^2+8(x+7)=0

We multiply parentheses

-1x^2+8x+56=0

a = -1; b = 8; c = +56;
Δ = b2-4ac
Δ = 82-4·(-1)·56
Δ = 288
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:

$\sqrt{\Delta}=\sqrt{288}=\sqrt{144*2}=\sqrt{144}*\sqrt{2}=12\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-12\sqrt{2}}{2*-1}=\frac{-8-12\sqrt{2}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+12\sqrt{2}}{2*-1}=\frac{-8+12\sqrt{2}}{-2}
$