6p^2=6-4p

Solution for 6p^2=6-4p equation:

6p^2=6-4p

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

6p^2+4p-6=0

a = 6; b = 4; c = -6;
Δ = b2-4ac
Δ = 42-4·6·(-6)
Δ = 160
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{160}=\sqrt{16*10}=\sqrt{16}*\sqrt{10}=4\sqrt{10}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{10}}{2*6}=\frac{-4-4\sqrt{10}}{12}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{10}}{2*6}=\frac{-4+4\sqrt{10}}{12}
$