L(p)=(P+6)*(6-P)

Solution for L(p)=(P+6)*(6-P) equation:

Simplifying
L(p) = (P + 6)(6 + -1P)

Multiply L * p
pL = (P + 6)(6 + -1P)

Reorder the terms:
pL = (6 + P)(6 + -1P)

Multiply (6 + P) * (6 + -1P)
pL = (6(6 + -1P) + P(6 + -1P))
pL = ((6 * 6 + -1P * 6) + P(6 + -1P))
pL = ((36 + -6P) + P(6 + -1P))
pL = (36 + -6P + (6 * P + -1P * P))
pL = (36 + -6P + (6P + -1P2))

Combine like terms: -6P + 6P = 0
pL = (36 + 0 + -1P2)
pL = (36 + -1P2)

Solving
pL = 36 + -1P2

Solving for variable 'p'.

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

Divide each side by 'L'.
p = 36L-1 + -1L-1P2

Simplifying
p = 36L-1 + -1L-1P2