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Simplifying 7bf4 + -7bk4 = 0 Solving 7bf4 + -7bk4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7b'. 7b(f4 + -1k4) = 0 Factor a difference between two squares. 7b((f2 + k2)(f2 + -1k2)) = 0 Factor a difference between two squares. 7b((f2 + k2)((f + k)(f + -1k))) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(f2 + k2)' equal to zero and attempt to solve: Simplifying f2 + k2 = 0 Solving f2 + k2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1f2' to each side of the equation. f2 + -1f2 + k2 = 0 + -1f2 Combine like terms: f2 + -1f2 = 0 0 + k2 = 0 + -1f2 k2 = 0 + -1f2 Remove the zero: k2 = -1f2 Add '-1k2' to each side of the equation. k2 + -1k2 = -1f2 + -1k2 Combine like terms: k2 + -1k2 = 0 0 = -1f2 + -1k2 Simplifying 0 = -1f2 + -1k2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(f + k)' equal to zero and attempt to solve: Simplifying f + k = 0 Solving f + k = 0 Move all terms containing b to the left, all other terms to the right. Add '-1f' to each side of the equation. f + -1f + k = 0 + -1f Combine like terms: f + -1f = 0 0 + k = 0 + -1f k = 0 + -1f Remove the zero: k = -1f Add '-1k' to each side of the equation. k + -1k = -1f + -1k Combine like terms: k + -1k = 0 0 = -1f + -1k Simplifying 0 = -1f + -1k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(f + -1k)' equal to zero and attempt to solve: Simplifying f + -1k = 0 Solving f + -1k = 0 Move all terms containing b to the left, all other terms to the right. Add '-1f' to each side of the equation. f + -1f + -1k = 0 + -1f Combine like terms: f + -1f = 0 0 + -1k = 0 + -1f -1k = 0 + -1f Remove the zero: -1k = -1f Add 'k' to each side of the equation. -1k + k = -1f + k Combine like terms: -1k + k = 0 0 = -1f + k Simplifying 0 = -1f + k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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