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Simplifying (b2 + 8)(b2 + -8) = 0 Reorder the terms: (8 + b2)(b2 + -8) = 0 Reorder the terms: (8 + b2)(-8 + b2) = 0 Multiply (8 + b2) * (-8 + b2) (8(-8 + b2) + b2(-8 + b2)) = 0 ((-8 * 8 + b2 * 8) + b2(-8 + b2)) = 0 ((-64 + 8b2) + b2(-8 + b2)) = 0 (-64 + 8b2 + (-8 * b2 + b2 * b2)) = 0 (-64 + 8b2 + (-8b2 + b4)) = 0 Combine like terms: 8b2 + -8b2 = 0 (-64 + 0 + b4) = 0 (-64 + b4) = 0 Solving -64 + b4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + b4 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + b4 = 0 + 64 b4 = 0 + 64 Combine like terms: 0 + 64 = 64 b4 = 64 Simplifying b4 = 64 Reorder the terms: -64 + b4 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + b4 = 0 Factor a difference between two squares. (8 + b2)(-8 + b2) = 0Subproblem 1
Set the factor '(8 + b2)' equal to zero and attempt to solve: Simplifying 8 + b2 = 0 Solving 8 + b2 = 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 + b2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b2 = 0 + -8 b2 = 0 + -8 Combine like terms: 0 + -8 = -8 b2 = -8 Simplifying b2 = -8 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 '(-8 + b2)' equal to zero and attempt to solve: Simplifying -8 + b2 = 0 Solving -8 + b2 = 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 + b2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b2 = 0 + 8 b2 = 0 + 8 Combine like terms: 0 + 8 = 8 b2 = 8 Simplifying b2 = 8 Take the square root of each side: b = {-2.828427125, 2.828427125}Solution
b = {-2.828427125, 2.828427125}
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