180=4x(6x-26)

Solution for 180=4x(6x-26) equation:

180=4x(6x-26)

We move all terms to the left:

180-(4x(6x-26))=0


We calculate terms in parentheses: -(4x(6x-26)), so:

4x(6x-26)

We multiply parentheses

24x^2-104x

Back to the equation:

-(24x^2-104x)


We get rid of parentheses

-24x^2+104x+180=0

a = -24; b = 104; c = +180;
Δ = b2-4ac
Δ = 1042-4·(-24)·180
Δ = 28096
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:

$\sqrt{\Delta}=\sqrt{28096}=\sqrt{64*439}=\sqrt{64}*\sqrt{439}=8\sqrt{439}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(104)-8\sqrt{439}}{2*-24}=\frac{-104-8\sqrt{439}}{-48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(104)+8\sqrt{439}}{2*-24}=\frac{-104+8\sqrt{439}}{-48}
$