=4x^7+8x^6-12x^5+8x^4

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Solution for =4x^7+8x^6-12x^5+8x^4 equation: 


Simplifying
0 = 4x7 + 8x6 + -12x5 + 8x4

Reorder the terms:
0 = 8x4 + -12x5 + 8x6 + 4x7

Solving
0 = 8x4 + -12x5 + 8x6 + 4x7

Solving for variable 'x'.
Remove the zero:
-8x4 + 12x5 + -8x6 + -4x7 = 8x4 + -12x5 + 8x6 + 4x7 + -8x4 + 12x5 + -8x6 + -4x7

Reorder the terms:
-8x4 + 12x5 + -8x6 + -4x7 = 8x4 + -8x4 + -12x5 + 12x5 + 8x6 + -8x6 + 4x7 + -4x7

Combine like terms: 8x4 + -8x4 = 0
-8x4 + 12x5 + -8x6 + -4x7 = 0 + -12x5 + 12x5 + 8x6 + -8x6 + 4x7 + -4x7
-8x4 + 12x5 + -8x6 + -4x7 = -12x5 + 12x5 + 8x6 + -8x6 + 4x7 + -4x7

Combine like terms: -12x5 + 12x5 = 0
-8x4 + 12x5 + -8x6 + -4x7 = 0 + 8x6 + -8x6 + 4x7 + -4x7
-8x4 + 12x5 + -8x6 + -4x7 = 8x6 + -8x6 + 4x7 + -4x7

Combine like terms: 8x6 + -8x6 = 0
-8x4 + 12x5 + -8x6 + -4x7 = 0 + 4x7 + -4x7
-8x4 + 12x5 + -8x6 + -4x7 = 4x7 + -4x7

Combine like terms: 4x7 + -4x7 = 0
-8x4 + 12x5 + -8x6 + -4x7 = 0

Factor out the Greatest Common Factor (GCF), '4x4'.
4x4(-2 + 3x + -2x2 + -1x3) = 0

Ignore the factor 4.

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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