X^6-144=0

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Solution for X^6-144=0 equation:


Simplifying
X6 + -144 = 0

Reorder the terms:
-144 + X6 = 0

Solving
-144 + X6 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '144' to each side of the equation.
-144 + 144 + X6 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + X6 = 0 + 144
X6 = 0 + 144

Combine like terms: 0 + 144 = 144
X6 = 144

Simplifying
X6 = 144

Reorder the terms:
-144 + X6 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + X6 = 0

Factor a difference between two squares.
(12 + X3)(-12 + X3) = 0

Subproblem 1

Set the factor '(12 + X3)' equal to zero and attempt to solve: Simplifying 12 + X3 = 0 Solving 12 + X3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + X3 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + X3 = 0 + -12 X3 = 0 + -12 Combine like terms: 0 + -12 = -12 X3 = -12 Simplifying X3 = -12 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 '(-12 + X3)' equal to zero and attempt to solve: Simplifying -12 + X3 = 0 Solving -12 + X3 = 0 Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + X3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + X3 = 0 + 12 X3 = 0 + 12 Combine like terms: 0 + 12 = 12 X3 = 12 Simplifying X3 = 12 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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