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

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

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

We move all terms to the left:

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

We multiply parentheses ..

(+24x^2-36x-4x+6)=0

We get rid of parentheses

24x^2-36x-4x+6=0

We add all the numbers together, and all the variables

24x^2-40x+6=0

a = 24; b = -40; c = +6;
Δ = b2-4ac
Δ = -402-4·24·6
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-32}{2*24}=\frac{8}{48}
=1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+32}{2*24}=\frac{72}{48}
=1+1/2
$