432=(24-2x)(30-2x)

Solution for 432=(24-2x)(30-2x) equation:

432=(24-2x)(30-2x)

We move all terms to the left:

432-((24-2x)(30-2x))=0

We add all the numbers together, and all the variables

-((-2x+24)(-2x+30))+432=0

We multiply parentheses ..

-((+4x^2-60x-48x+720))+432=0


We calculate terms in parentheses: -((+4x^2-60x-48x+720)), so:

(+4x^2-60x-48x+720)

We get rid of parentheses

4x^2-60x-48x+720

We add all the numbers together, and all the variables

4x^2-108x+720

Back to the equation:

-(4x^2-108x+720)


We get rid of parentheses

-4x^2+108x-720+432=0

We add all the numbers together, and all the variables

-4x^2+108x-288=0

a = -4; b = 108; c = -288;
Δ = b2-4ac
Δ = 1082-4·(-4)·(-288)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(108)-84}{2*-4}=\frac{-192}{-8}
=+24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108)+84}{2*-4}=\frac{-24}{-8}
=+3
$