(6x+11)(15x+33)=

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Solution for (6x+11)(15x+33)= equation: 


Simplifying
(6x + 11)(15x + 33) = 0

Reorder the terms:
(11 + 6x)(15x + 33) = 0

Reorder the terms:
(11 + 6x)(33 + 15x) = 0

Multiply (11 + 6x) * (33 + 15x)
(11(33 + 15x) + 6x * (33 + 15x)) = 0
((33 * 11 + 15x * 11) + 6x * (33 + 15x)) = 0
((363 + 165x) + 6x * (33 + 15x)) = 0
(363 + 165x + (33 * 6x + 15x * 6x)) = 0
(363 + 165x + (198x + 90x2)) = 0

Combine like terms: 165x + 198x = 363x
(363 + 363x + 90x2) = 0

Solving
363 + 363x + 90x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(121 + 121x + 30x2) = 0

Factor a trinomial.
3((11 + 5x)(11 + 6x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 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 + 5x = 0 + -11

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

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

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

Subproblem 2
Set the factor '(11 + 6x)' equal to zero and attempt to solve:

Simplifying
11 + 6x = 0

Solving
11 + 6x = 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 + 6x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = 0 + -11
6x = 0 + -11

Combine like terms: 0 + -11 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333
Solution
x = {-2.2, -1.833333333}

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