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Simplifying 8jk + -1j(2k + j) = 0 Reorder the terms: 8jk + -1j(j + 2k) = 0 8jk + (j * -1j + 2k * -1j) = 0 Reorder the terms: 8jk + (-2jk + -1j2) = 0 8jk + (-2jk + -1j2) = 0 Combine like terms: 8jk + -2jk = 6jk 6jk + -1j2 = 0 Solving 6jk + -1j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), 'j'. j(6k + -1j) = 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 '(6k + -1j)' equal to zero and attempt to solve: Simplifying 6k + -1j = 0 Reorder the terms: -1j + 6k = 0 Solving -1j + 6k = 0 Move all terms containing j to the left, all other terms to the right. Add '-6k' to each side of the equation. -1j + 6k + -6k = 0 + -6k Combine like terms: 6k + -6k = 0 -1j + 0 = 0 + -6k -1j = 0 + -6k Remove the zero: -1j = -6k Divide each side by '-1'. j = 6k Simplifying j = 6kSolution
j = {0, 6k}
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