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Simplifying 2k[-1xy + (-8)] = 0 2k[-1xy + -8] = 0 Reorder the terms: 2k[-8 + -1xy] = 0 [-8 * 2k + -1xy * 2k] = 0 [-16k + -2kxy] = 0 Solving -16k + -2kxy = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-2k'. -2k(8 + xy) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(8 + xy)' equal to zero and attempt to solve: Simplifying 8 + xy = 0 Solving 8 + xy = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + xy = 0 + -8 Combine like terms: 8 + -8 = 0 0 + xy = 0 + -8 xy = 0 + -8 Combine like terms: 0 + -8 = -8 xy = -8 Add '-1xy' to each side of the equation. xy + -1xy = -8 + -1xy Combine like terms: xy + -1xy = 0 0 = -8 + -1xy Simplifying 0 = -8 + -1xy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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