P/8p-18p=-28

Solution for P/8p-18p=-28 equation:

/8P-18P=-28

We move all terms to the left:

/8P-18P-(-28)=0


Domain of the equation: 8P!=0

P!=0/8

P!=0

P∈R


We add all the numbers together, and all the variables

-18P+/8P+28=0

We multiply all the terms by the denominator


-18P*8P+28*8P+=0

We add all the numbers together, and all the variables

-18P*8P+28*8P=0

Wy multiply elements

-144P^2+224P=0

a = -144; b = 224; c = 0;
Δ = b2-4ac
Δ = 2242-4·(-144)·0
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(224)-224}{2*-144}=\frac{-448}{-288}
=1+5/9
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(224)+224}{2*-144}=\frac{0}{-288}
=0
$