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Simplifying b4 + -1296 = 0 Reorder the terms: -1296 + b4 = 0 Solving -1296 + b4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1296' to each side of the equation. -1296 + 1296 + b4 = 0 + 1296 Combine like terms: -1296 + 1296 = 0 0 + b4 = 0 + 1296 b4 = 0 + 1296 Combine like terms: 0 + 1296 = 1296 b4 = 1296 Simplifying b4 = 1296 Reorder the terms: -1296 + b4 = 1296 + -1296 Combine like terms: 1296 + -1296 = 0 -1296 + b4 = 0 Factor a difference between two squares. (36 + b2)(-36 + b2) = 0 Factor a difference between two squares. (36 + b2)((6 + b)(-6 + b)) = 0Subproblem 1
Set the factor '(36 + b2)' equal to zero and attempt to solve: Simplifying 36 + b2 = 0 Solving 36 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + b2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + b2 = 0 + -36 b2 = 0 + -36 Combine like terms: 0 + -36 = -36 b2 = -36 Simplifying b2 = -36 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 '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Subproblem 3
Set the factor '(-6 + b)' equal to zero and attempt to solve: Simplifying -6 + b = 0 Solving -6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + b = 0 + 6 b = 0 + 6 Combine like terms: 0 + 6 = 6 b = 6 Simplifying b = 6Solution
b = {-6, 6}
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