x(3x-11)(4x-11)=0

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Solution for x(3x-11)(4x-11)=0 equation: 


Simplifying
x(3x + -11)(4x + -11) = 0

Reorder the terms:
x(-11 + 3x)(4x + -11) = 0

Reorder the terms:
x(-11 + 3x)(-11 + 4x) = 0

Multiply (-11 + 3x) * (-11 + 4x)
x(-11(-11 + 4x) + 3x * (-11 + 4x)) = 0
x((-11 * -11 + 4x * -11) + 3x * (-11 + 4x)) = 0
x((121 + -44x) + 3x * (-11 + 4x)) = 0
x(121 + -44x + (-11 * 3x + 4x * 3x)) = 0
x(121 + -44x + (-33x + 12x2)) = 0

Combine like terms: -44x + -33x = -77x
x(121 + -77x + 12x2) = 0
(121 * x + -77x * x + 12x2 * x) = 0
(121x + -77x2 + 12x3) = 0

Solving
121x + -77x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(121 + -77x + 12x2) = 0

Factor a trinomial.
x((11 + -4x)(11 + -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 + -4x)' equal to zero and attempt to solve:

Simplifying
11 + -4x = 0

Solving
11 + -4x = 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 + -4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 0 + -11
-4x = 0 + -11

Combine like terms: 0 + -11 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

Subproblem 3
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {0, 2.75, 3.666666667}

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