(b^2)=b^8

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Solution for (b^2)=b^8 equation: 


Simplifying
(b2) = b8
b2 = b8

Solving
b2 = b8

Solving for variable 'b'.

Combine like terms: b8 + -1b8 = 0
b2 + -1b8 = 0

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(1 + -1b6) = 0

Factor a difference between two squares.
b2((1 + b3)(1 + -1b3)) = 0


Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}

Subproblem 2
Set the factor '(1 + b3)' equal to zero and attempt to solve:

Simplifying
1 + b3 = 0

Solving
1 + b3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + b3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b3 = 0 + -1
b3 = 0 + -1

Combine like terms: 0 + -1 = -1
b3 = -1

Simplifying
b3 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -1b3)' equal to zero and attempt to solve:

Simplifying
1 + -1b3 = 0

Solving
1 + -1b3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1b3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1b3 = 0 + -1
-1b3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1b3 = -1

Divide each side by '-1'.
b3 = 1

Simplifying
b3 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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