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Simplifying 16b4 + -1c4 = 0 Solving 16b4 + -1c4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'c4' to each side of the equation. 16b4 + -1c4 + c4 = 0 + c4 Combine like terms: -1c4 + c4 = 0 16b4 + 0 = 0 + c4 16b4 = 0 + c4 Remove the zero: 16b4 = c4 Divide each side by '16'. b4 = 0.0625c4 Simplifying b4 = 0.0625c4 Combine like terms: 0.0625c4 + -0.0625c4 = 0.0000 b4 + -0.0625c4 = 0.0000 Factor a difference between two squares. (b2 + 0.25c2)(b2 + -0.25c2) = 0.0000 Factor a difference between two squares. (b2 + 0.25c2)((b + 0.5c)(b + -0.5c)) = 0.0000Subproblem 1
Set the factor '(b2 + 0.25c2)' equal to zero and attempt to solve: Simplifying b2 + 0.25c2 = 0 Solving b2 + 0.25c2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-0.25c2' to each side of the equation. b2 + 0.25c2 + -0.25c2 = 0 + -0.25c2 Combine like terms: 0.25c2 + -0.25c2 = 0.00 b2 + 0.00 = 0 + -0.25c2 b2 = 0 + -0.25c2 Remove the zero: b2 = -0.25c2 Simplifying b2 = -0.25c2 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 '(b + 0.5c)' equal to zero and attempt to solve: Simplifying b + 0.5c = 0 Solving b + 0.5c = 0 Move all terms containing b to the left, all other terms to the right. Add '-0.5c' to each side of the equation. b + 0.5c + -0.5c = 0 + -0.5c Combine like terms: 0.5c + -0.5c = 0.0 b + 0.0 = 0 + -0.5c b = 0 + -0.5c Remove the zero: b = -0.5c Simplifying b = -0.5cSubproblem 3
Set the factor '(b + -0.5c)' equal to zero and attempt to solve: Simplifying b + -0.5c = 0 Solving b + -0.5c = 0 Move all terms containing b to the left, all other terms to the right. Add '0.5c' to each side of the equation. b + -0.5c + 0.5c = 0 + 0.5c Combine like terms: -0.5c + 0.5c = 0.0 b + 0.0 = 0 + 0.5c b = 0 + 0.5c Remove the zero: b = 0.5c Simplifying b = 0.5cSolution
b = {-0.5c, 0.5c}
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