6p-8/4p+4=5

Solution for 6p-8/4p+4=5 equation:

6p-8/4p+4=5

We move all terms to the left:

6p-8/4p+4-(5)=0


Domain of the equation: 4p!=0

p!=0/4

p!=0

p∈R


We add all the numbers together, and all the variables

6p-8/4p-1=0

We multiply all the terms by the denominator


6p*4p-1*4p-8=0

Wy multiply elements

24p^2-4p-8=0

a = 24; b = -4; c = -8;
Δ = b2-4ac
Δ = -42-4·24·(-8)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-28}{2*24}=\frac{-24}{48}
=-1/2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+28}{2*24}=\frac{32}{48}
=2/3
$