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

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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 $

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