5p(p-1)=-(-6-4p)

Solution for 5p(p-1)=-(-6-4p) equation:

5p(p-1)=-(-6-4p)

We move all terms to the left:

5p(p-1)-(-(-6-4p))=0

We add all the numbers together, and all the variables

5p(p-1)-(-(-4p-6))=0

We multiply parentheses

5p^2-5p-(-(-4p-6))=0


We calculate terms in parentheses: -(-(-4p-6)), so:

-(-4p-6)

We get rid of parentheses

4p+6

Back to the equation:

-(4p+6)


We get rid of parentheses

5p^2-5p-4p-6=0

We add all the numbers together, and all the variables

5p^2-9p-6=0

a = 5; b = -9; c = -6;
Δ = b2-4ac
Δ = -92-4·5·(-6)
Δ = 201
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{-(-9)-\sqrt{201}}{2*5}=\frac{9-\sqrt{201}}{10}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{201}}{2*5}=\frac{9+\sqrt{201}}{10}
$