7p^2-13p-7=5p^2

Solution for 7p^2-13p-7=5p^2 equation:

7p^2-13p-7=5p^2

We move all terms to the left:

7p^2-13p-7-(5p^2)=0

determiningTheFunctionDomain
7p^2-5p^2-13p-7=0

We add all the numbers together, and all the variables

2p^2-13p-7=0

a = 2; b = -13; c = -7;
Δ = b2-4ac
Δ = -132-4·2·(-7)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-15}{2*2}=\frac{-2}{4}
=-1/2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+15}{2*2}=\frac{28}{4}
=7
$