4096=r^6

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Solution for 4096=r^6 equation:


Simplifying
4096 = r6

Solving
4096 = r6

Solving for variable 'r'.

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

Add '-1r6' to each side of the equation.
4096 + -1r6 = r6 + -1r6

Combine like terms: r6 + -1r6 = 0
4096 + -1r6 = 0

Add '-4096' to each side of the equation.
4096 + -4096 + -1r6 = 0 + -4096

Combine like terms: 4096 + -4096 = 0
0 + -1r6 = 0 + -4096
-1r6 = 0 + -4096

Combine like terms: 0 + -4096 = -4096
-1r6 = -4096

Divide each side by '-1'.
r6 = 4096

Simplifying
r6 = 4096

Reorder the terms:
-4096 + r6 = 4096 + -4096

Combine like terms: 4096 + -4096 = 0
-4096 + r6 = 0

Factor a difference between two squares.
(64 + r3)(-64 + r3) = 0

Subproblem 1

Set the factor '(64 + r3)' equal to zero and attempt to solve: Simplifying 64 + r3 = 0 Solving 64 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + r3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + r3 = 0 + -64 r3 = 0 + -64 Combine like terms: 0 + -64 = -64 r3 = -64 Simplifying r3 = -64 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 '(-64 + r3)' equal to zero and attempt to solve: Simplifying -64 + r3 = 0 Solving -64 + r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + r3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + r3 = 0 + 64 r3 = 0 + 64 Combine like terms: 0 + 64 = 64 r3 = 64 Simplifying r3 = 64 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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