0=x^4+2x^3+7x^2-13x

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Solution for 0=x^4+2x^3+7x^2-13x equation: 


Simplifying
0 = x4 + 2x3 + 7x2 + -13x

Reorder the terms:
0 = -13x + 7x2 + 2x3 + x4

Solving
0 = -13x + 7x2 + 2x3 + x4

Solving for variable 'x'.
Remove the zero:
13x + -7x2 + -2x3 + -1x4 = -13x + 7x2 + 2x3 + x4 + 13x + -7x2 + -2x3 + -1x4

Reorder the terms:
13x + -7x2 + -2x3 + -1x4 = -13x + 13x + 7x2 + -7x2 + 2x3 + -2x3 + x4 + -1x4

Combine like terms: -13x + 13x = 0
13x + -7x2 + -2x3 + -1x4 = 0 + 7x2 + -7x2 + 2x3 + -2x3 + x4 + -1x4
13x + -7x2 + -2x3 + -1x4 = 7x2 + -7x2 + 2x3 + -2x3 + x4 + -1x4

Combine like terms: 7x2 + -7x2 = 0
13x + -7x2 + -2x3 + -1x4 = 0 + 2x3 + -2x3 + x4 + -1x4
13x + -7x2 + -2x3 + -1x4 = 2x3 + -2x3 + x4 + -1x4

Combine like terms: 2x3 + -2x3 = 0
13x + -7x2 + -2x3 + -1x4 = 0 + x4 + -1x4
13x + -7x2 + -2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
13x + -7x2 + -2x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -7x + -2x2 + -1x3) = 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 '(13 + -7x + -2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
13 + -7x + -2x2 + -1x3 = 0

Solving
13 + -7x + -2x2 + -1x3 = 0

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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