(9x+11)(7x+13)=0

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Solution for (9x+11)(7x+13)=0 equation: 


Simplifying
(9x + 11)(7x + 13) = 0

Reorder the terms:
(11 + 9x)(7x + 13) = 0

Reorder the terms:
(11 + 9x)(13 + 7x) = 0

Multiply (11 + 9x) * (13 + 7x)
(11(13 + 7x) + 9x * (13 + 7x)) = 0
((13 * 11 + 7x * 11) + 9x * (13 + 7x)) = 0
((143 + 77x) + 9x * (13 + 7x)) = 0
(143 + 77x + (13 * 9x + 7x * 9x)) = 0
(143 + 77x + (117x + 63x2)) = 0

Combine like terms: 77x + 117x = 194x
(143 + 194x + 63x2) = 0

Solving
143 + 194x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + 7x)(11 + 9x) = 0


Subproblem 1
Set the factor '(13 + 7x)' equal to zero and attempt to solve:

Simplifying
13 + 7x = 0

Solving
13 + 7x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 7x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 0 + -13
7x = 0 + -13

Combine like terms: 0 + -13 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857

Subproblem 2
Set the factor '(11 + 9x)' equal to zero and attempt to solve:

Simplifying
11 + 9x = 0

Solving
11 + 9x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 9x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 9x = 0 + -11
9x = 0 + -11

Combine like terms: 0 + -11 = -11
9x = -11

Divide each side by '9'.
x = -1.222222222

Simplifying
x = -1.222222222
Solution
x = {-1.857142857, -1.222222222}

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