8=c*b^5

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Solution for 8=c*b^5 equation:


Simplifying
8 = c * b5

Multiply c * b5
8 = b5c

Solving
8 = b5c

Solving for variable 'b'.

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

Add '-1b5c' to each side of the equation.
8 + -1b5c = b5c + -1b5c

Combine like terms: b5c + -1b5c = 0
8 + -1b5c = 0

Add '-8' to each side of the equation.
8 + -8 + -1b5c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b5c = 0 + -8
-1b5c = 0 + -8

Combine like terms: 0 + -8 = -8
-1b5c = -8

Divide each side by '-1c'.
b5 = 8c-1

Simplifying
b5 = 8c-1

Combine like terms: 8c-1 + -8c-1 = 0
b5 + -8c-1 = 0

Factor out the Greatest Common Factor (GCF), 'c-1'.
c-1(b5c + -8) = 0

Subproblem 1

Set the factor 'c-1' equal to zero and attempt to solve: Simplifying c-1 = 0 Solving c-1 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c-1' to each side of the equation. c-1 + -1c-1 = 0 + -1c-1 Remove the zero: 0 = -1c-1 Simplifying 0 = -1c-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 '(b5c + -8)' equal to zero and attempt to solve: Simplifying b5c + -8 = 0 Reorder the terms: -8 + b5c = 0 Solving -8 + b5c = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + b5c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b5c = 0 + 8 b5c = 0 + 8 Combine like terms: 0 + 8 = 8 b5c = 8 Divide each side by 'c'. b5 = 8c-1 Simplifying b5 = 8c-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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