(2x+11)(-3-3x)=0

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Solution for (2x+11)(-3-3x)=0 equation: 


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

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

Multiply (11 + 2x) * (-3 + -3x)
(11(-3 + -3x) + 2x * (-3 + -3x)) = 0
((-3 * 11 + -3x * 11) + 2x * (-3 + -3x)) = 0
((-33 + -33x) + 2x * (-3 + -3x)) = 0
(-33 + -33x + (-3 * 2x + -3x * 2x)) = 0
(-33 + -33x + (-6x + -6x2)) = 0

Combine like terms: -33x + -6x = -39x
(-33 + -39x + -6x2) = 0

Solving
-33 + -39x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(11 + 13x + 2x2) = 0

Factor a trinomial.
-3((11 + 2x)(1 + x)) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 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 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-5.5, -1}

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