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Simplifying 3k2 + 2k = 2k2 + 11k Reorder the terms: 2k + 3k2 = 2k2 + 11k Reorder the terms: 2k + 3k2 = 11k + 2k2 Solving 2k + 3k2 = 11k + 2k2 Solving for variable 'k'. Reorder the terms: 2k + -11k + 3k2 + -2k2 = 11k + 2k2 + -11k + -2k2 Combine like terms: 2k + -11k = -9k -9k + 3k2 + -2k2 = 11k + 2k2 + -11k + -2k2 Combine like terms: 3k2 + -2k2 = 1k2 -9k + 1k2 = 11k + 2k2 + -11k + -2k2 Reorder the terms: -9k + 1k2 = 11k + -11k + 2k2 + -2k2 Combine like terms: 11k + -11k = 0 -9k + 1k2 = 0 + 2k2 + -2k2 -9k + 1k2 = 2k2 + -2k2 Combine like terms: 2k2 + -2k2 = 0 -9k + 1k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-9 + 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 '(-9 + k)' equal to zero and attempt to solve: Simplifying -9 + k = 0 Solving -9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + k = 0 + 9 k = 0 + 9 Combine like terms: 0 + 9 = 9 k = 9 Simplifying k = 9Solution
k = {0, 9}
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