(9p+11)(p+9)=79

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Solution for (9p+11)(p+9)=79 equation: 


Simplifying
(9p + 11)(p + 9) = 79

Reorder the terms:
(11 + 9p)(p + 9) = 79

Reorder the terms:
(11 + 9p)(9 + p) = 79

Multiply (11 + 9p) * (9 + p)
(11(9 + p) + 9p * (9 + p)) = 79
((9 * 11 + p * 11) + 9p * (9 + p)) = 79
((99 + 11p) + 9p * (9 + p)) = 79
(99 + 11p + (9 * 9p + p * 9p)) = 79
(99 + 11p + (81p + 9p2)) = 79

Combine like terms: 11p + 81p = 92p
(99 + 92p + 9p2) = 79

Solving
99 + 92p + 9p2 = 79

Solving for variable 'p'.

Reorder the terms:
99 + -79 + 92p + 9p2 = 79 + -79

Combine like terms: 99 + -79 = 20
20 + 92p + 9p2 = 79 + -79

Combine like terms: 79 + -79 = 0
20 + 92p + 9p2 = 0

Factor a trinomial.
(10 + p)(2 + 9p) = 0


Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

Add '-10' to each side of the equation.
10 + -10 + p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + p = 0 + -10
p = 0 + -10

Combine like terms: 0 + -10 = -10
p = -10

Simplifying
p = -10

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

Simplifying
2 + 9p = 0

Solving
2 + 9p = 0

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

Add '-2' to each side of the equation.
2 + -2 + 9p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9p = 0 + -2
9p = 0 + -2

Combine like terms: 0 + -2 = -2
9p = -2

Divide each side by '9'.
p = -0.2222222222

Simplifying
p = -0.2222222222
Solution
p = {-10, -0.2222222222}

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