(8p+9)(9p+8)=0

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Solution for (8p+9)(9p+8)=0 equation:


Simplifying
(8p + 9)(9p + 8) = 0

Reorder the terms:
(9 + 8p)(9p + 8) = 0

Reorder the terms:
(9 + 8p)(8 + 9p) = 0

Multiply (9 + 8p) * (8 + 9p)
(9(8 + 9p) + 8p * (8 + 9p)) = 0
((8 * 9 + 9p * 9) + 8p * (8 + 9p)) = 0
((72 + 81p) + 8p * (8 + 9p)) = 0
(72 + 81p + (8 * 8p + 9p * 8p)) = 0
(72 + 81p + (64p + 72p2)) = 0

Combine like terms: 81p + 64p = 145p
(72 + 145p + 72p2) = 0

Solving
72 + 145p + 72p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(9 + 8p)(8 + 9p) = 0


Subproblem 1
Set the factor '(9 + 8p)' equal to zero and attempt to solve:

Simplifying
9 + 8p = 0

Solving
9 + 8p = 0

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

Add '-9' to each side of the equation.
9 + -9 + 8p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8p = 0 + -9
8p = 0 + -9

Combine like terms: 0 + -9 = -9
8p = -9

Divide each side by '8'.
p = -1.125

Simplifying
p = -1.125

Subproblem 2
Set the factor '(8 + 9p)' equal to zero and attempt to solve:

Simplifying
8 + 9p = 0

Solving
8 + 9p = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9p = 0 + -8
9p = 0 + -8

Combine like terms: 0 + -8 = -8
9p = -8

Divide each side by '9'.
p = -0.8888888889

Simplifying
p = -0.8888888889
Solution
p = {-1.125, -0.8888888889}

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