26=6x(4x-1)

Solution for 26=6x(4x-1) equation:

26=6x(4x-1)

We move all terms to the left:

26-(6x(4x-1))=0


We calculate terms in parentheses: -(6x(4x-1)), so:

6x(4x-1)

We multiply parentheses

24x^2-6x

Back to the equation:

-(24x^2-6x)


We get rid of parentheses

-24x^2+6x+26=0

a = -24; b = 6; c = +26;
Δ = b2-4ac
Δ = 62-4·(-24)·26
Δ = 2532
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:

$\sqrt{\Delta}=\sqrt{2532}=\sqrt{4*633}=\sqrt{4}*\sqrt{633}=2\sqrt{633}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{633}}{2*-24}=\frac{-6-2\sqrt{633}}{-48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{633}}{2*-24}=\frac{-6+2\sqrt{633}}{-48}
$