(3x+2)(11x+12)=

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Solution for (3x+2)(11x+12)= equation: 


Simplifying
(3x + 2)(11x + 12) = 0

Reorder the terms:
(2 + 3x)(11x + 12) = 0

Reorder the terms:
(2 + 3x)(12 + 11x) = 0

Multiply (2 + 3x) * (12 + 11x)
(2(12 + 11x) + 3x * (12 + 11x)) = 0
((12 * 2 + 11x * 2) + 3x * (12 + 11x)) = 0
((24 + 22x) + 3x * (12 + 11x)) = 0
(24 + 22x + (12 * 3x + 11x * 3x)) = 0
(24 + 22x + (36x + 33x2)) = 0

Combine like terms: 22x + 36x = 58x
(24 + 58x + 33x2) = 0

Solving
24 + 58x + 33x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + 11x)(2 + 3x) = 0


Subproblem 1
Set the factor '(12 + 11x)' equal to zero and attempt to solve:

Simplifying
12 + 11x = 0

Solving
12 + 11x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 11x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 0 + -12
11x = 0 + -12

Combine like terms: 0 + -12 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091

Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-1.090909091, -0.6666666667}

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