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Simplifying 3bp4 + -3bk4 = 0 Reorder the terms: -3bk4 + 3bp4 = 0 Solving -3bk4 + 3bp4 = 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), '3b'. 3b(-1k4 + p4) = 0 Factor a difference between two squares. 3b((k2 + p2)(-1k2 + p2)) = 0 Factor a difference between two squares. 3b((k2 + p2)((k + p)(-1k + p))) = 0 Ignore the factor 3.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 '(k2 + p2)' equal to zero and attempt to solve: Simplifying k2 + p2 = 0 Solving k2 + p2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1k2' to each side of the equation. k2 + -1k2 + p2 = 0 + -1k2 Combine like terms: k2 + -1k2 = 0 0 + p2 = 0 + -1k2 p2 = 0 + -1k2 Remove the zero: p2 = -1k2 Add '-1p2' to each side of the equation. p2 + -1p2 = -1k2 + -1p2 Combine like terms: p2 + -1p2 = 0 0 = -1k2 + -1p2 Simplifying 0 = -1k2 + -1p2 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 '(k + p)' equal to zero and attempt to solve: Simplifying k + p = 0 Solving k + p = 0 Move all terms containing b to the left, all other terms to the right. Add '-1k' to each side of the equation. k + -1k + p = 0 + -1k Combine like terms: k + -1k = 0 0 + p = 0 + -1k p = 0 + -1k Remove the zero: p = -1k Add '-1p' to each side of the equation. p + -1p = -1k + -1p Combine like terms: p + -1p = 0 0 = -1k + -1p Simplifying 0 = -1k + -1p 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 '(-1k + p)' equal to zero and attempt to solve: Simplifying -1k + p = 0 Solving -1k + p = 0 Move all terms containing b to the left, all other terms to the right. Add 'k' to each side of the equation. -1k + k + p = 0 + k Combine like terms: -1k + k = 0 0 + p = 0 + k p = 0 + k Remove the zero: p = k Add '-1p' to each side of the equation. p + -1p = k + -1p Combine like terms: p + -1p = 0 0 = k + -1p Simplifying 0 = k + -1p 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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