(24-2x)(18-2x)=247

Solution for (24-2x)(18-2x)=247 equation:

(24-2x)(18-2x)=247

We move all terms to the left:

(24-2x)(18-2x)-(247)=0

We add all the numbers together, and all the variables

(-2x+24)(-2x+18)-247=0

We multiply parentheses ..

(+4x^2-36x-48x+432)-247=0

We get rid of parentheses

4x^2-36x-48x+432-247=0

We add all the numbers together, and all the variables

4x^2-84x+185=0

a = 4; b = -84; c = +185;
Δ = b2-4ac
Δ = -842-4·4·185
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-64}{2*4}=\frac{20}{8}
=2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+64}{2*4}=\frac{148}{8}
=18+1/2
$