3p(2p-1)-9=6(p+1)(p+1)

Solution for 3p(2p-1)-9=6(p+1)(p+1) equation:

Simplifying
3p(2p + -1) + -9 = 6(p + 1)(p + 1)

Reorder the terms:
3p(-1 + 2p) + -9 = 6(p + 1)(p + 1)
(-1 * 3p + 2p * 3p) + -9 = 6(p + 1)(p + 1)
(-3p + 6p2) + -9 = 6(p + 1)(p + 1)

Reorder the terms:
-9 + -3p + 6p2 = 6(p + 1)(p + 1)

Reorder the terms:
-9 + -3p + 6p2 = 6(1 + p)(p + 1)

Reorder the terms:
-9 + -3p + 6p2 = 6(1 + p)(1 + p)

Multiply (1 + p) * (1 + p)
-9 + -3p + 6p2 = 6(1(1 + p) + p(1 + p))
-9 + -3p + 6p2 = 6((1 * 1 + p * 1) + p(1 + p))
-9 + -3p + 6p2 = 6((1 + 1p) + p(1 + p))
-9 + -3p + 6p2 = 6(1 + 1p + (1 * p + p * p))
-9 + -3p + 6p2 = 6(1 + 1p + (1p + p2))

Combine like terms: 1p + 1p = 2p
-9 + -3p + 6p2 = 6(1 + 2p + p2)
-9 + -3p + 6p2 = (1 * 6 + 2p * 6 + p2 * 6)
-9 + -3p + 6p2 = (6 + 12p + 6p2)

Add '-6p2' to each side of the equation.
-9 + -3p + 6p2 + -6p2 = 6 + 12p + 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
-9 + -3p + 0 = 6 + 12p + 6p2 + -6p2
-9 + -3p = 6 + 12p + 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
-9 + -3p = 6 + 12p + 0
-9 + -3p = 6 + 12p

Solving
-9 + -3p = 6 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-9 + -3p + -12p = 6 + 12p + -12p

Combine like terms: -3p + -12p = -15p
-9 + -15p = 6 + 12p + -12p

Combine like terms: 12p + -12p = 0
-9 + -15p = 6 + 0
-9 + -15p = 6

Add '9' to each side of the equation.
-9 + 9 + -15p = 6 + 9

Combine like terms: -9 + 9 = 0
0 + -15p = 6 + 9
-15p = 6 + 9

Combine like terms: 6 + 9 = 15
-15p = 15

Divide each side by '-15'.
p = -1

Simplifying
p = -1