=2x^7+4x^6-6x^5+4x^4

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Solution for =2x^7+4x^6-6x^5+4x^4 equation: 


Simplifying
0 = 2x7 + 4x6 + -6x5 + 4x4

Reorder the terms:
0 = 4x4 + -6x5 + 4x6 + 2x7

Solving
0 = 4x4 + -6x5 + 4x6 + 2x7

Solving for variable 'x'.
Remove the zero:
-4x4 + 6x5 + -4x6 + -2x7 = 4x4 + -6x5 + 4x6 + 2x7 + -4x4 + 6x5 + -4x6 + -2x7

Reorder the terms:
-4x4 + 6x5 + -4x6 + -2x7 = 4x4 + -4x4 + -6x5 + 6x5 + 4x6 + -4x6 + 2x7 + -2x7

Combine like terms: 4x4 + -4x4 = 0
-4x4 + 6x5 + -4x6 + -2x7 = 0 + -6x5 + 6x5 + 4x6 + -4x6 + 2x7 + -2x7
-4x4 + 6x5 + -4x6 + -2x7 = -6x5 + 6x5 + 4x6 + -4x6 + 2x7 + -2x7

Combine like terms: -6x5 + 6x5 = 0
-4x4 + 6x5 + -4x6 + -2x7 = 0 + 4x6 + -4x6 + 2x7 + -2x7
-4x4 + 6x5 + -4x6 + -2x7 = 4x6 + -4x6 + 2x7 + -2x7

Combine like terms: 4x6 + -4x6 = 0
-4x4 + 6x5 + -4x6 + -2x7 = 0 + 2x7 + -2x7
-4x4 + 6x5 + -4x6 + -2x7 = 2x7 + -2x7

Combine like terms: 2x7 + -2x7 = 0
-4x4 + 6x5 + -4x6 + -2x7 = 0

Factor out the Greatest Common Factor (GCF), '2x4'.
2x4(-2 + 3x + -2x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve:

Simplifying
x4 = 0

Solving
x4 = 0

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

Simplifying
x4 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-2 + 3x + -2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-2 + 3x + -2x2 + -1x3 = 0

Solving
-2 + 3x + -2x2 + -1x3 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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