X^6-15625=0

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Solution for X^6-15625=0 equation:


Simplifying
X6 + -15625 = 0

Reorder the terms:
-15625 + X6 = 0

Solving
-15625 + X6 = 0

Solving for variable 'X'.

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

Add '15625' to each side of the equation.
-15625 + 15625 + X6 = 0 + 15625

Combine like terms: -15625 + 15625 = 0
0 + X6 = 0 + 15625
X6 = 0 + 15625

Combine like terms: 0 + 15625 = 15625
X6 = 15625

Simplifying
X6 = 15625

Reorder the terms:
-15625 + X6 = 15625 + -15625

Combine like terms: 15625 + -15625 = 0
-15625 + X6 = 0

Factor a difference between two squares.
(125 + X3)(-125 + X3) = 0

Subproblem 1

Set the factor '(125 + X3)' equal to zero and attempt to solve: Simplifying 125 + X3 = 0 Solving 125 + X3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + X3 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + X3 = 0 + -125 X3 = 0 + -125 Combine like terms: 0 + -125 = -125 X3 = -125 Simplifying X3 = -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 '(-125 + X3)' equal to zero and attempt to solve: Simplifying -125 + X3 = 0 Solving -125 + X3 = 0 Move all terms containing X to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + X3 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + X3 = 0 + 125 X3 = 0 + 125 Combine like terms: 0 + 125 = 125 X3 = 125 Simplifying X3 = 125 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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