(5X^6+2X^4-X^3+3X)+(-X^6+5X^3-6X^2+7X^4)=

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Solution for (5X^6+2X^4-X^3+3X)+(-X^6+5X^3-6X^2+7X^4)= equation:


Simplifying
(5X6 + 2X4 + -1X3 + 3X) + (-1X6 + 5X3 + -6X2 + 7X4) = 0

Reorder the terms:
(3X + -1X3 + 2X4 + 5X6) + (-1X6 + 5X3 + -6X2 + 7X4) = 0

Remove parenthesis around (3X + -1X3 + 2X4 + 5X6)
3X + -1X3 + 2X4 + 5X6 + (-1X6 + 5X3 + -6X2 + 7X4) = 0

Reorder the terms:
3X + -1X3 + 2X4 + 5X6 + (-6X2 + 5X3 + 7X4 + -1X6) = 0

Remove parenthesis around (-6X2 + 5X3 + 7X4 + -1X6)
3X + -1X3 + 2X4 + 5X6 + -6X2 + 5X3 + 7X4 + -1X6 = 0

Reorder the terms:
3X + -6X2 + -1X3 + 5X3 + 2X4 + 7X4 + 5X6 + -1X6 = 0

Combine like terms: -1X3 + 5X3 = 4X3
3X + -6X2 + 4X3 + 2X4 + 7X4 + 5X6 + -1X6 = 0

Combine like terms: 2X4 + 7X4 = 9X4
3X + -6X2 + 4X3 + 9X4 + 5X6 + -1X6 = 0

Combine like terms: 5X6 + -1X6 = 4X6
3X + -6X2 + 4X3 + 9X4 + 4X6 = 0

Solving
3X + -6X2 + 4X3 + 9X4 + 4X6 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(3 + -6X + 4X2 + 9X3 + 4X5) = 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 '(3 + -6X + 4X2 + 9X3 + 4X5)' equal to zero and attempt to solve: Simplifying 3 + -6X + 4X2 + 9X3 + 4X5 = 0 Solving 3 + -6X + 4X2 + 9X3 + 4X5 = 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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