-2p(5p-7)+6p=-6p

Solution for -2p(5p-7)+6p=-6p equation:

-2p(5p-7)+6p=-6p

We move all terms to the left:

-2p(5p-7)+6p-(-6p)=0

We add all the numbers together, and all the variables

6p-2p(5p-7)-(-6p)=0

We multiply parentheses

-10p^2+6p+14p-(-6p)=0

We get rid of parentheses

-10p^2+6p+14p+6p=0

We add all the numbers together, and all the variables

-10p^2+26p=0

a = -10; b = 26; c = 0;
Δ = b2-4ac
Δ = 262-4·(-10)·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-26}{2*-10}=\frac{-52}{-20}
=2+3/5
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+26}{2*-10}=\frac{0}{-20}
=0
$