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Simplifying 0.0256 = b4 Solving 0.0256 = b4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b4' to each side of the equation. 0.0256 + -1b4 = b4 + -1b4 Combine like terms: b4 + -1b4 = 0 0.0256 + -1b4 = 0 Add '-0.0256' to each side of the equation. 0.0256 + -0.0256 + -1b4 = 0 + -0.0256 Combine like terms: 0.0256 + -0.0256 = 0.0000 0.0000 + -1b4 = 0 + -0.0256 -1b4 = 0 + -0.0256 Combine like terms: 0 + -0.0256 = -0.0256 -1b4 = -0.0256 Divide each side by '-1'. b4 = 0.0256 Simplifying b4 = 0.0256 Reorder the terms: -0.0256 + b4 = 0.0256 + -0.0256 Combine like terms: 0.0256 + -0.0256 = 0.0000 -0.0256 + b4 = 0.0000 Factor a difference between two squares. (0.16 + b2)(-0.16 + b2) = 0.0000 Factor a difference between two squares. (0.16 + b2)((0.4 + b)(-0.4 + b)) = 0.0000Subproblem 1
Set the factor '(0.16 + b2)' equal to zero and attempt to solve: Simplifying 0.16 + b2 = 0 Solving 0.16 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-0.16' to each side of the equation. 0.16 + -0.16 + b2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + b2 = 0 + -0.16 b2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 b2 = -0.16 Simplifying b2 = -0.16 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 '(0.4 + b)' equal to zero and attempt to solve: Simplifying 0.4 + b = 0 Solving 0.4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + b = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + b = 0 + -0.4 b = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 b = -0.4 Simplifying b = -0.4Subproblem 3
Set the factor '(-0.4 + b)' equal to zero and attempt to solve: Simplifying -0.4 + b = 0 Solving -0.4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + b = 0 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + b = 0 + 0.4 b = 0 + 0.4 Combine like terms: 0 + 0.4 = 0.4 b = 0.4 Simplifying b = 0.4Solution
b = {-0.4, 0.4}
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