A^2b^2-b^2=0

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Solution for A^2b^2-b^2=0 equation:


Simplifying
A2b2 + -1b2 = 0

Reorder the terms:
-1b2 + b2A2 = 0

Solving
-1b2 + b2A2 = 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 + A2) = 0

Factor a difference between two squares.
b2((1 + A)(-1 + A)) = 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 + A)' equal to zero and attempt to solve: Simplifying 1 + A = 0 Solving 1 + A = 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 + A = 0 + -1 Combine like terms: 1 + -1 = 0 0 + A = 0 + -1 A = 0 + -1 Combine like terms: 0 + -1 = -1 A = -1 Add '-1A' to each side of the equation. A + -1A = -1 + -1A Combine like terms: A + -1A = 0 0 = -1 + -1A Simplifying 0 = -1 + -1A 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 + A)' equal to zero and attempt to solve: Simplifying -1 + A = 0 Solving -1 + A = 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 + A = 0 + 1 Combine like terms: -1 + 1 = 0 0 + A = 0 + 1 A = 0 + 1 Combine like terms: 0 + 1 = 1 A = 1 Add '-1A' to each side of the equation. A + -1A = 1 + -1A Combine like terms: A + -1A = 0 0 = 1 + -1A Simplifying 0 = 1 + -1A 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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