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Simplifying jk2 + -9j = 0 Reorder the terms: -9j + jk2 = 0 Solving -9j + jk2 = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'j'. j(-9 + k2) = 0 Factor a difference between two squares. j((3 + k)(-3 + k)) = 0Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing j to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Add '-1k' to each side of the equation. k + -1k = -3 + -1k Combine like terms: k + -1k = 0 0 = -3 + -1k Simplifying 0 = -3 + -1k 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 '(-3 + k)' equal to zero and attempt to solve: Simplifying -3 + k = 0 Solving -3 + k = 0 Move all terms containing j to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k = 0 + 3 k = 0 + 3 Combine like terms: 0 + 3 = 3 k = 3 Add '-1k' to each side of the equation. k + -1k = 3 + -1k Combine like terms: k + -1k = 0 0 = 3 + -1k Simplifying 0 = 3 + -1k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
j = {0}
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