6y(8y-4y=7)

Solution for 6y(8y-4y=7) equation:

6y(8y-4y=7)

We move all terms to the left:

6y(8y-4y-(7))=0

We add all the numbers together, and all the variables

6y(4y-7)=0

We multiply parentheses

24y^2-42y=0

a = 24; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·24·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*24}=\frac{0}{48}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*24}=\frac{84}{48}
=1+3/4
$