4x^3-13x^2+3x+4=4

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Solution for 4x^3-13x^2+3x+4=4 equation: 


Simplifying
4x3 + -13x2 + 3x + 4 = 4

Reorder the terms:
4 + 3x + -13x2 + 4x3 = 4

Add '-4' to each side of the equation.
4 + 3x + -13x2 + -4 + 4x3 = 4 + -4

Reorder the terms:
4 + -4 + 3x + -13x2 + 4x3 = 4 + -4

Combine like terms: 4 + -4 = 0
0 + 3x + -13x2 + 4x3 = 4 + -4
3x + -13x2 + 4x3 = 4 + -4

Combine like terms: 4 + -4 = 0
3x + -13x2 + 4x3 = 0

Solving
3x + -13x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -13x + 4x2) = 0

Factor a trinomial.
x((1 + -4x)(3 + -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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

Subproblem 3
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
Solution
x = {0, 0.25, 3}

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