b^2c^2-2b^2c+b^2=0

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Solution for b^2c^2-2b^2c+b^2=0 equation:


Simplifying
b2c2 + -2b2c + b2 = 0

Reorder the terms:
b2 + -2b2c + b2c2 = 0

Solving
b2 + -2b2c + b2c2 = 0

Solving for variable 'b'.

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

Factor out the Greatest Common Factor (GCF), 'b2'.
b2(1 + -2c + c2) = 0

Factor a trinomial.
b2((1 + -1c)(1 + -1c)) = 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 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 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 + -1c = 0 + -1

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

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

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

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

Simplifying
0 = -1 + c

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 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 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 + -1c = 0 + -1

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

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

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

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

Simplifying
0 = -1 + c

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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