(3x+10)(x+11)=

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Solution for (3x+10)(x+11)= equation: 


Simplifying
(3x + 10)(x + 11) = 0

Reorder the terms:
(10 + 3x)(x + 11) = 0

Reorder the terms:
(10 + 3x)(11 + x) = 0

Multiply (10 + 3x) * (11 + x)
(10(11 + x) + 3x * (11 + x)) = 0
((11 * 10 + x * 10) + 3x * (11 + x)) = 0
((110 + 10x) + 3x * (11 + x)) = 0
(110 + 10x + (11 * 3x + x * 3x)) = 0
(110 + 10x + (33x + 3x2)) = 0

Combine like terms: 10x + 33x = 43x
(110 + 43x + 3x2) = 0

Solving
110 + 43x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + x)(10 + 3x) = 0


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

Simplifying
11 + x = 0

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

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

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

Simplifying
x = -11

Subproblem 2
Set the factor '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {-11, -3.333333333}

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