9(30-x)8x=49

Solution for 9(30-x)8x=49 equation:

9(30-x)8x=49

We move all terms to the left:

9(30-x)8x-(49)=0

We add all the numbers together, and all the variables

9(-1x+30)8x-49=0

We multiply parentheses

-72x^2+2160x-49=0

a = -72; b = 2160; c = -49;
Δ = b2-4ac
Δ = 21602-4·(-72)·(-49)
Δ = 4651488
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:

$\sqrt{\Delta}=\sqrt{4651488}=\sqrt{144*32302}=\sqrt{144}*\sqrt{32302}=12\sqrt{32302}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2160)-12\sqrt{32302}}{2*-72}=\frac{-2160-12\sqrt{32302}}{-144}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2160)+12\sqrt{32302}}{2*-72}=\frac{-2160+12\sqrt{32302}}{-144}
$