w^2b^2-wb^2-72b^2=

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Solution for w^2b^2-wb^2-72b^2= equation:


Simplifying
w2b2 + -1wb2 + -72b2 = 0

Reorder the terms:
-72b2 + -1b2w + b2w2 = 0

Solving
-72b2 + -1b2w + b2w2 = 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(-72 + -1w + w2) = 0

Factor a trinomial.
b2((-8 + -1w)(9 + -1w)) = 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 '(-8 + -1w)' equal to zero and attempt to solve: Simplifying -8 + -1w = 0 Solving -8 + -1w = 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 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Add 'w' to each side of the equation. -1w + w = 8 + w Combine like terms: -1w + w = 0 0 = 8 + w Simplifying 0 = 8 + w 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 '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Add 'w' to each side of the equation. -1w + w = -9 + w Combine like terms: -1w + w = 0 0 = -9 + w Simplifying 0 = -9 + w 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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