X(3x+2)(7x+11)=0

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Solution for X(3x+2)(7x+11)=0 equation: 


Simplifying
X(3x + 2)(7x + 11) = 0

Reorder the terms:
X(2 + 3x)(7x + 11) = 0

Reorder the terms:
X(2 + 3x)(11 + 7x) = 0

Multiply (2 + 3x) * (11 + 7x)
X(2(11 + 7x) + 3x * (11 + 7x)) = 0
X((11 * 2 + 7x * 2) + 3x * (11 + 7x)) = 0
X((22 + 14x) + 3x * (11 + 7x)) = 0
X(22 + 14x + (11 * 3x + 7x * 3x)) = 0
X(22 + 14x + (33x + 21x2)) = 0

Combine like terms: 14x + 33x = 47x
X(22 + 47x + 21x2) = 0
(22 * X + 47x * X + 21x2 * X) = 0
(22X + 47xX + 21x2X) = 0

Solving
22X + 47xX + 21x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(22 + 47x + 21x2) = 0

Factor a trinomial.
X((11 + 7x)(2 + 3x)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(11 + 7x)' equal to zero and attempt to solve:

Simplifying
11 + 7x = 0

Solving
11 + 7x = 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 + 7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = 0 + -11
7x = 0 + -11

Combine like terms: 0 + -11 = -11
7x = -11

Add '-7x' to each side of the equation.
7x + -7x = -11 + -7x

Combine like terms: 7x + -7x = 0
0 = -11 + -7x

Simplifying
0 = -11 + -7x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
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

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

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

Simplifying
0 = -2 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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