(x^10)-(6x^5)+9=0

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Solution for (x^10)-(6x^5)+9=0 equation:


Simplifying
(x10) + -1(6x5) + 9 = 0
x10 + -1(6x5) + 9 = 0

Remove parenthesis around (6x5)
x10 + -1 * 6x5 + 9 = 0

Multiply -1 * 6
x10 + -6x5 + 9 = 0

Reorder the terms:
9 + -6x5 + x10 = 0

Solving
9 + -6x5 + x10 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x5)(3 + -1x5) = 0

Subproblem 1

Set the factor '(3 + -1x5)' equal to zero and attempt to solve: Simplifying 3 + -1x5 = 0 Solving 3 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x5 = 0 + -3 -1x5 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x5 = -3 Divide each side by '-1'. x5 = 3 Simplifying x5 = 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 '(3 + -1x5)' equal to zero and attempt to solve: Simplifying 3 + -1x5 = 0 Solving 3 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x5 = 0 + -3 -1x5 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x5 = -3 Divide each side by '-1'. x5 = 3 Simplifying x5 = 3 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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