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Simplifying 3k2 = 2k2 + -7k Reorder the terms: 3k2 = -7k + 2k2 Solving 3k2 = -7k + 2k2 Solving for variable 'k'. Reorder the terms: 7k + 3k2 + -2k2 = -7k + 2k2 + 7k + -2k2 Combine like terms: 3k2 + -2k2 = 1k2 7k + 1k2 = -7k + 2k2 + 7k + -2k2 Reorder the terms: 7k + 1k2 = -7k + 7k + 2k2 + -2k2 Combine like terms: -7k + 7k = 0 7k + 1k2 = 0 + 2k2 + -2k2 7k + 1k2 = 2k2 + -2k2 Combine like terms: 2k2 + -2k2 = 0 7k + 1k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(7 + 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 '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Solution
k = {0, -7}
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