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Simplifying kx2 + -1ky2 + kz = 0 Solving kx2 + -1ky2 + kz = 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), 'k'. k(x2 + -1y2 + z) = 0Subproblem 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 '(x2 + -1y2 + z)' equal to zero and attempt to solve: Simplifying x2 + -1y2 + z = 0 Solving x2 + -1y2 + z = 0 Move all terms containing k to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1y2 + -1x2 + z = 0 + -1x2 Reorder the terms: x2 + -1x2 + -1y2 + z = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1y2 + z = 0 + -1x2 -1y2 + z = 0 + -1x2 Remove the zero: -1y2 + z = -1x2 Add 'y2' to each side of the equation. -1y2 + y2 + z = -1x2 + y2 Combine like terms: -1y2 + y2 = 0 0 + z = -1x2 + y2 z = -1x2 + y2 Add '-1z' to each side of the equation. z + -1z = -1x2 + y2 + -1z Combine like terms: z + -1z = 0 0 = -1x2 + y2 + -1z Simplifying 0 = -1x2 + y2 + -1z 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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