w^10+5w^5+6=

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Solution for w^10+5w^5+6= equation:


Simplifying
w10 + 5w5 + 6 = 0

Reorder the terms:
6 + 5w5 + w10 = 0

Solving
6 + 5w5 + w10 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + w5)(2 + w5) = 0

Subproblem 1

Set the factor '(3 + w5)' equal to zero and attempt to solve: Simplifying 3 + w5 = 0 Solving 3 + w5 = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w5 = 0 + -3 w5 = 0 + -3 Combine like terms: 0 + -3 = -3 w5 = -3 Simplifying w5 = -3 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 + w5)' equal to zero and attempt to solve: Simplifying 2 + w5 = 0 Solving 2 + w5 = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w5 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w5 = 0 + -2 w5 = 0 + -2 Combine like terms: 0 + -2 = -2 w5 = -2 Simplifying w5 = -2 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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