0=6x^5-11x^4-10x^3-54x^3+99x^2+90x

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Solution for 0=6x^5-11x^4-10x^3-54x^3+99x^2+90x equation: 


Simplifying
0 = 6x5 + -11x4 + -10x3 + -54x3 + 99x2 + 90x

Reorder the terms:
0 = 90x + 99x2 + -10x3 + -54x3 + -11x4 + 6x5

Combine like terms: -10x3 + -54x3 = -64x3
0 = 90x + 99x2 + -64x3 + -11x4 + 6x5

Solving
0 = 90x + 99x2 + -64x3 + -11x4 + 6x5

Solving for variable 'x'.
Remove the zero:
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 90x + 99x2 + -64x3 + -11x4 + 6x5 + -90x + -99x2 + 64x3 + 11x4 + -6x5

Reorder the terms:
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 90x + -90x + 99x2 + -99x2 + -64x3 + 64x3 + -11x4 + 11x4 + 6x5 + -6x5

Combine like terms: 90x + -90x = 0
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 0 + 99x2 + -99x2 + -64x3 + 64x3 + -11x4 + 11x4 + 6x5 + -6x5
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 99x2 + -99x2 + -64x3 + 64x3 + -11x4 + 11x4 + 6x5 + -6x5

Combine like terms: 99x2 + -99x2 = 0
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 0 + -64x3 + 64x3 + -11x4 + 11x4 + 6x5 + -6x5
-90x + -99x2 + 64x3 + 11x4 + -6x5 = -64x3 + 64x3 + -11x4 + 11x4 + 6x5 + -6x5

Combine like terms: -64x3 + 64x3 = 0
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 0 + -11x4 + 11x4 + 6x5 + -6x5
-90x + -99x2 + 64x3 + 11x4 + -6x5 = -11x4 + 11x4 + 6x5 + -6x5

Combine like terms: -11x4 + 11x4 = 0
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 0 + 6x5 + -6x5
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 6x5 + -6x5

Combine like terms: 6x5 + -6x5 = 0
-90x + -99x2 + 64x3 + 11x4 + -6x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-90 + -99x + 64x2 + 11x3 + -6x4) = 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 '(-90 + -99x + 64x2 + 11x3 + -6x4)' equal to zero and attempt to solve:

Simplifying
-90 + -99x + 64x2 + 11x3 + -6x4 = 0

Solving
-90 + -99x + 64x2 + 11x3 + -6x4 = 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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