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Simplifying b4 = 2401 Solving b4 = 2401 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Simplifying b4 = 2401 Reorder the terms: -2401 + b4 = 2401 + -2401 Combine like terms: 2401 + -2401 = 0 -2401 + b4 = 0 Factor a difference between two squares. (49 + b2)(-49 + b2) = 0 Factor a difference between two squares. (49 + b2)((7 + b)(-7 + b)) = 0Subproblem 1
Set the factor '(49 + b2)' equal to zero and attempt to solve: Simplifying 49 + b2 = 0 Solving 49 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + b2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + b2 = 0 + -49 b2 = 0 + -49 Combine like terms: 0 + -49 = -49 b2 = -49 Simplifying b2 = -49 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 '(7 + b)' equal to zero and attempt to solve: Simplifying 7 + b = 0 Solving 7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Subproblem 3
Set the factor '(-7 + b)' equal to zero and attempt to solve: Simplifying -7 + b = 0 Solving -7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + b = 0 + 7 b = 0 + 7 Combine like terms: 0 + 7 = 7 b = 7 Simplifying b = 7Solution
b = {-7, 7}
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