(5+11x)(7+6x)=

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Solution for (5+11x)(7+6x)= equation: 


Simplifying
(5 + 11x)(7 + 6x) = 0

Multiply (5 + 11x) * (7 + 6x)
(5(7 + 6x) + 11x * (7 + 6x)) = 0
((7 * 5 + 6x * 5) + 11x * (7 + 6x)) = 0
((35 + 30x) + 11x * (7 + 6x)) = 0
(35 + 30x + (7 * 11x + 6x * 11x)) = 0
(35 + 30x + (77x + 66x2)) = 0

Combine like terms: 30x + 77x = 107x
(35 + 107x + 66x2) = 0

Solving
35 + 107x + 66x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x)(5 + 11x) = 0


Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

Subproblem 2
Set the factor '(5 + 11x)' equal to zero and attempt to solve:

Simplifying
5 + 11x = 0

Solving
5 + 11x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 11x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 0 + -5
11x = 0 + -5

Combine like terms: 0 + -5 = -5
11x = -5

Divide each side by '11'.
x = -0.4545454545

Simplifying
x = -0.4545454545
Solution
x = {-1.166666667, -0.4545454545}

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