24x^6-21x^3-3=0

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Solution for 24x^6-21x^3-3=0 equation:


Simplifying
24x6 + -21x3 + -3 = 0

Reorder the terms:
-3 + -21x3 + 24x6 = 0

Solving
-3 + -21x3 + 24x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -7x3 + 8x6) = 0

Factor a trinomial.
3((-1 + -8x3)(1 + -1x3)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -8x3)' equal to zero and attempt to solve: Simplifying -1 + -8x3 = 0 Solving -1 + -8x3 = 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 + -8x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x3 = 0 + 1 -8x3 = 0 + 1 Combine like terms: 0 + 1 = 1 -8x3 = 1 Divide each side by '-8'. x3 = -0.125 Simplifying x3 = -0.125 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 '(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. The solution to this equation could not be determined.

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