x^6-342x^3=343

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Solution for x^6-342x^3=343 equation:


Simplifying
x6 + -342x3 = 343

Reorder the terms:
-342x3 + x6 = 343

Solving
-342x3 + x6 = 343

Solving for variable 'x'.

Reorder the terms:
-343 + -342x3 + x6 = 343 + -343

Combine like terms: 343 + -343 = 0
-343 + -342x3 + x6 = 0

Factor a trinomial.
(-1 + -1x3)(343 + -1x3) = 0

Subproblem 1

Set the factor '(-1 + -1x3)' equal to zero and attempt to solve: Simplifying -1 + -1x3 = 0 Solving -1 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x3 = 0 + 1 -1x3 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x3 = 1 Divide each side by '-1'. x3 = -1 Simplifying x3 = -1 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 '(343 + -1x3)' equal to zero and attempt to solve: Simplifying 343 + -1x3 = 0 Solving 343 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-343' to each side of the equation. 343 + -343 + -1x3 = 0 + -343 Combine like terms: 343 + -343 = 0 0 + -1x3 = 0 + -343 -1x3 = 0 + -343 Combine like terms: 0 + -343 = -343 -1x3 = -343 Divide each side by '-1'. x3 = 343 Simplifying x3 = 343 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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