(3x^6+6x^5)-(9x^4+6x^3)=

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Solution for (3x^6+6x^5)-(9x^4+6x^3)= equation:


Simplifying
(3x6 + 6x5) + -1(9x4 + 6x3) = 0

Reorder the terms:
(6x5 + 3x6) + -1(9x4 + 6x3) = 0

Remove parenthesis around (6x5 + 3x6)
6x5 + 3x6 + -1(9x4 + 6x3) = 0

Reorder the terms:
6x5 + 3x6 + -1(6x3 + 9x4) = 0
6x5 + 3x6 + (6x3 * -1 + 9x4 * -1) = 0
6x5 + 3x6 + (-6x3 + -9x4) = 0

Reorder the terms:
-6x3 + -9x4 + 6x5 + 3x6 = 0

Solving
-6x3 + -9x4 + 6x5 + 3x6 = 0

Solving for variable 'x'.

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

Ignore the factor 3.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 + x3)' equal to zero and attempt to solve: Simplifying -2 + -3x + 2x2 + x3 = 0 Solving -2 + -3x + 2x2 + x3 = 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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