594=(30-2x)(30+3x)

Solution for 594=(30-2x)(30+3x) equation:

594=(30-2x)(30+3x)

We move all terms to the left:

594-((30-2x)(30+3x))=0

We add all the numbers together, and all the variables

-((-2x+30)(3x+30))+594=0

We multiply parentheses ..

-((-6x^2-60x+90x+900))+594=0


We calculate terms in parentheses: -((-6x^2-60x+90x+900)), so:

(-6x^2-60x+90x+900)

We get rid of parentheses

-6x^2-60x+90x+900

We add all the numbers together, and all the variables

-6x^2+30x+900

Back to the equation:

-(-6x^2+30x+900)


We get rid of parentheses

6x^2-30x-900+594=0

We add all the numbers together, and all the variables

6x^2-30x-306=0

a = 6; b = -30; c = -306;
Δ = b2-4ac
Δ = -302-4·6·(-306)
Δ = 8244
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:

$\sqrt{\Delta}=\sqrt{8244}=\sqrt{36*229}=\sqrt{36}*\sqrt{229}=6\sqrt{229}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-6\sqrt{229}}{2*6}=\frac{30-6\sqrt{229}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+6\sqrt{229}}{2*6}=\frac{30+6\sqrt{229}}{12}
$