x^3-11x^2+28x=4x

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Solution for x^3-11x^2+28x=4x equation: 


Simplifying
x3 + -11x2 + 28x = 4x

Reorder the terms:
28x + -11x2 + x3 = 4x

Solving
28x + -11x2 + x3 = 4x

Solving for variable 'x'.

Reorder the terms:
28x + -4x + -11x2 + x3 = 4x + -4x

Combine like terms: 28x + -4x = 24x
24x + -11x2 + x3 = 4x + -4x

Combine like terms: 4x + -4x = 0
24x + -11x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -11x + x2) = 0

Factor a trinomial.
x((3 + -1x)(8 + -1x)) = 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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {0, 3, 8}

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