x=(6x-2)(4x+36)

Solution for x=(6x-2)(4x+36) equation:

x=(6x-2)(4x+36)

We move all terms to the left:

x-((6x-2)(4x+36))=0

We multiply parentheses ..

-((+24x^2+216x-8x-72))+x=0


We calculate terms in parentheses: -((+24x^2+216x-8x-72)), so:

(+24x^2+216x-8x-72)

We get rid of parentheses

24x^2+216x-8x-72

We add all the numbers together, and all the variables

24x^2+208x-72

Back to the equation:

-(24x^2+208x-72)


We add all the numbers together, and all the variables

x-(24x^2+208x-72)=0

We get rid of parentheses

-24x^2+x-208x+72=0

We add all the numbers together, and all the variables

-24x^2-207x+72=0

a = -24; b = -207; c = +72;
Δ = b2-4ac
Δ = -2072-4·(-24)·72
Δ = 49761
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:

$\sqrt{\Delta}=\sqrt{49761}=\sqrt{9*5529}=\sqrt{9}*\sqrt{5529}=3\sqrt{5529}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-207)-3\sqrt{5529}}{2*-24}=\frac{207-3\sqrt{5529}}{-48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-207)+3\sqrt{5529}}{2*-24}=\frac{207+3\sqrt{5529}}{-48}
$