(16-2x)(27-2x)=276

Solution for (16-2x)(27-2x)=276 equation:

(16-2x)(27-2x)=276

We move all terms to the left:

(16-2x)(27-2x)-(276)=0

We add all the numbers together, and all the variables

(-2x+16)(-2x+27)-276=0

We multiply parentheses ..

(+4x^2-54x-32x+432)-276=0

We get rid of parentheses

4x^2-54x-32x+432-276=0

We add all the numbers together, and all the variables

4x^2-86x+156=0

a = 4; b = -86; c = +156;
Δ = b2-4ac
Δ = -862-4·4·156
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-86)-70}{2*4}=\frac{16}{8}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-86)+70}{2*4}=\frac{156}{8}
=19+1/2
$