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Simplifying k(3x + k) = 0 Reorder the terms: k(k + 3x) = 0 (k * k + 3x * k) = 0 Reorder the terms: (3kx + k2) = 0 (3kx + k2) = 0 Solving 3kx + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(3x + k) = 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 '(3x + k)' equal to zero and attempt to solve: Simplifying 3x + k = 0 Reorder the terms: k + 3x = 0 Solving k + 3x = 0 Move all terms containing k to the left, all other terms to the right. Add '-3x' to each side of the equation. k + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 k + 0 = 0 + -3x k = 0 + -3x Remove the zero: k = -3x Simplifying k = -3xSolution
k = {0, -3x}
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