625=x^6

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Solution for 625=x^6 equation:


Simplifying
625 = x6

Solving
625 = x6

Solving for variable 'x'.

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

Add '-1x6' to each side of the equation.
625 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
625 + -1x6 = 0

Add '-625' to each side of the equation.
625 + -625 + -1x6 = 0 + -625

Combine like terms: 625 + -625 = 0
0 + -1x6 = 0 + -625
-1x6 = 0 + -625

Combine like terms: 0 + -625 = -625
-1x6 = -625

Divide each side by '-1'.
x6 = 625

Simplifying
x6 = 625

Reorder the terms:
-625 + x6 = 625 + -625

Combine like terms: 625 + -625 = 0
-625 + x6 = 0

Factor a difference between two squares.
(25 + x3)(-25 + x3) = 0

Subproblem 1

Set the factor '(25 + x3)' equal to zero and attempt to solve: Simplifying 25 + x3 = 0 Solving 25 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x3 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x3 = 0 + -25 x3 = 0 + -25 Combine like terms: 0 + -25 = -25 x3 = -25 Simplifying x3 = -25 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 '(-25 + x3)' equal to zero and attempt to solve: Simplifying -25 + x3 = 0 Solving -25 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x3 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x3 = 0 + 25 x3 = 0 + 25 Combine like terms: 0 + 25 = 25 x3 = 25 Simplifying x3 = 25 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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