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

Solution for (p-6)(4p-6)=0 equation:

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

We multiply parentheses ..

(+4p^2-6p-24p+36)=0

We get rid of parentheses

4p^2-6p-24p+36=0

We add all the numbers together, and all the variables

4p^2-30p+36=0

a = 4; b = -30; c = +36;
Δ = b2-4ac
Δ = -302-4·4·36
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-18}{2*4}=\frac{12}{8}
=1+1/2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+18}{2*4}=\frac{48}{8}
=6
$