9p^2-27+12p=6p^2+12p

Solution for 9p^2-27+12p=6p^2+12p equation:

Simplifying
9p2 + -27 + 12p = 6p2 + 12p

Reorder the terms:
-27 + 12p + 9p2 = 6p2 + 12p

Reorder the terms:
-27 + 12p + 9p2 = 12p + 6p2

Add '-12p' to each side of the equation.
-27 + 12p + -12p + 9p2 = 12p + -12p + 6p2

Combine like terms: 12p + -12p = 0
-27 + 0 + 9p2 = 12p + -12p + 6p2
-27 + 9p2 = 12p + -12p + 6p2

Combine like terms: 12p + -12p = 0
-27 + 9p2 = 0 + 6p2
-27 + 9p2 = 6p2

Solving
-27 + 9p2 = 6p2

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-6p2' to each side of the equation.
-27 + 9p2 + -6p2 = 6p2 + -6p2

Combine like terms: 9p2 + -6p2 = 3p2
-27 + 3p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
-27 + 3p2 = 0

Add '27' to each side of the equation.
-27 + 27 + 3p2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 3p2 = 0 + 27
3p2 = 0 + 27

Combine like terms: 0 + 27 = 27
3p2 = 27

Divide each side by '3'.
p2 = 9

Simplifying
p2 = 9

Take the square root of each side:
p = {-3, 3}