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Simplifying 3125 = 5b4 Solving 3125 = 5b4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b4' to each side of the equation. 3125 + -5b4 = 5b4 + -5b4 Combine like terms: 5b4 + -5b4 = 0 3125 + -5b4 = 0 Add '-3125' to each side of the equation. 3125 + -3125 + -5b4 = 0 + -3125 Combine like terms: 3125 + -3125 = 0 0 + -5b4 = 0 + -3125 -5b4 = 0 + -3125 Combine like terms: 0 + -3125 = -3125 -5b4 = -3125 Divide each side by '-5'. b4 = 625 Simplifying b4 = 625 Reorder the terms: -625 + b4 = 625 + -625 Combine like terms: 625 + -625 = 0 -625 + b4 = 0 Factor a difference between two squares. (25 + b2)(-25 + b2) = 0 Factor a difference between two squares. (25 + b2)((5 + b)(-5 + b)) = 0Subproblem 1
Set the factor '(25 + b2)' equal to zero and attempt to solve: Simplifying 25 + b2 = 0 Solving 25 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + b2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + b2 = 0 + -25 b2 = 0 + -25 Combine like terms: 0 + -25 = -25 b2 = -25 Simplifying b2 = -25 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Subproblem 3
Set the factor '(-5 + b)' equal to zero and attempt to solve: Simplifying -5 + b = 0 Solving -5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b = 0 + 5 b = 0 + 5 Combine like terms: 0 + 5 = 5 b = 5 Simplifying b = 5Solution
b = {-5, 5}
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