45p/5p=9p

Solution for 45p/5p=9p equation:

45p/5p=9p

We move all terms to the left:

45p/5p-(9p)=0


Domain of the equation: 5p!=0

p!=0/5

p!=0

p∈R


We add all the numbers together, and all the variables

-9p+45p/5p=0

We multiply all the terms by the denominator


-9p*5p+45p=0

We add all the numbers together, and all the variables

45p-9p*5p=0

Wy multiply elements

-45p^2+45p=0

a = -45; b = 45; c = 0;
Δ = b2-4ac
Δ = 452-4·(-45)·0
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-45}{2*-45}=\frac{-90}{-90}
=1
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+45}{2*-45}=\frac{0}{-90}
=0
$