32=ba^6

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Solution for 32=ba^6 equation:


Simplifying
32 = ba6

Solving
32 = a6b

Solving for variable 'a'.

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

Add '-1a6b' to each side of the equation.
32 + -1a6b = a6b + -1a6b

Combine like terms: a6b + -1a6b = 0
32 + -1a6b = 0

Add '-32' to each side of the equation.
32 + -32 + -1a6b = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1a6b = 0 + -32
-1a6b = 0 + -32

Combine like terms: 0 + -32 = -32
-1a6b = -32

Divide each side by '-1b'.
a6 = 32b-1

Simplifying
a6 = 32b-1

Combine like terms: 32b-1 + -32b-1 = 0
a6 + -32b-1 = 0

Factor out the Greatest Common Factor (GCF), 'b-1'.
b-1(a6b + -32) = 0

Subproblem 1

Set the factor 'b-1' equal to zero and attempt to solve: Simplifying b-1 = 0 Solving b-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-1' to each side of the equation. b-1 + -1b-1 = 0 + -1b-1 Remove the zero: 0 = -1b-1 Simplifying 0 = -1b-1 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 '(a6b + -32)' equal to zero and attempt to solve: Simplifying a6b + -32 = 0 Reorder the terms: -32 + a6b = 0 Solving -32 + a6b = 0 Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + a6b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + a6b = 0 + 32 a6b = 0 + 32 Combine like terms: 0 + 32 = 32 a6b = 32 Divide each side by 'b'. a6 = 32b-1 Simplifying a6 = 32b-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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