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Simplifying 4b4 + -16 = 0 Reorder the terms: -16 + 4b4 = 0 Solving -16 + 4b4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4b4 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4b4 = 0 + 16 4b4 = 0 + 16 Combine like terms: 0 + 16 = 16 4b4 = 16 Divide each side by '4'. b4 = 4 Simplifying b4 = 4 Reorder the terms: -4 + b4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + b4 = 0 Factor a difference between two squares. (2 + b2)(-2 + b2) = 0Subproblem 1
Set the factor '(2 + b2)' equal to zero and attempt to solve: Simplifying 2 + b2 = 0 Solving 2 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b2 = 0 + -2 b2 = 0 + -2 Combine like terms: 0 + -2 = -2 b2 = -2 Simplifying b2 = -2 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 '(-2 + b2)' equal to zero and attempt to solve: Simplifying -2 + b2 = 0 Solving -2 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + b2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + b2 = 0 + 2 b2 = 0 + 2 Combine like terms: 0 + 2 = 2 b2 = 2 Simplifying b2 = 2 Take the square root of each side: b = {-1.414213562, 1.414213562}Solution
b = {-1.414213562, 1.414213562}
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