0.3p(p-2)=5-0.6p

Solution for 0.3p(p-2)=5-0.6p equation:

0.3p(p-2)=5-0.6p

We move all terms to the left:

0.3p(p-2)-(5-0.6p)=0

We add all the numbers together, and all the variables

0.3p(p-2)-(-0.6p+5)=0

We multiply parentheses

0p^2+0p-(-0.6p+5)=0

We get rid of parentheses

0p^2+0p+0.6p-5=0

We add all the numbers together, and all the variables

p^2+1.6p-5=0

a = 1; b = 1.6; c = -5;
Δ = b2-4ac
Δ = 1.62-4·1·(-5)
Δ = 22.56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.6)-\sqrt{22.56}}{2*1}=\frac{-1.6-\sqrt{22.56}}{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.6)+\sqrt{22.56}}{2*1}=\frac{-1.6+\sqrt{22.56}}{2}
$