(9x+11)(x+9)=79

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

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

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

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

Multiply (11 + 9x) * (9 + x)
(11(9 + x) + 9x * (9 + x)) = 79
((9 * 11 + x * 11) + 9x * (9 + x)) = 79
((99 + 11x) + 9x * (9 + x)) = 79
(99 + 11x + (9 * 9x + x * 9x)) = 79
(99 + 11x + (81x + 9x2)) = 79

Combine like terms: 11x + 81x = 92x
(99 + 92x + 9x2) = 79

Solving
99 + 92x + 9x2 = 79

Solving for variable 'x'.

Reorder the terms:
99 + -79 + 92x + 9x2 = 79 + -79

Combine like terms: 99 + -79 = 20
20 + 92x + 9x2 = 79 + -79

Combine like terms: 79 + -79 = 0
20 + 92x + 9x2 = 0

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

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

Simplifying
10 + x = 0

Solving
10 + x = 0

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

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

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

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

Simplifying
x = -10
Subproblem 2
Set the factor '(2 + 9x)' equal to zero and attempt to solve:

Simplifying
2 + 9x = 0

Solving
2 + 9x = 0

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

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

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

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

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

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