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Simplifying (9k * 9k) = 4k Reorder the terms for easier multiplication: (9 * 9k * k) = 4k Multiply 9 * 9 (81k * k) = 4k Multiply k * k (81k2) = 4k Solving (81k2) = 4k Solving for variable 'k'. Reorder the terms: -4k + (81k2) = 4k + -4k Combine like terms: 4k + -4k = 0 -4k + (81k2) = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-4 + (81k)) = 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 '(-4 + (81k))' equal to zero and attempt to solve: Simplifying -4 + (81k) = 0 Solving -4 + (81k) = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + (81k) = 0 + 4 Combine like terms: -4 + 4 = 0 0 + (81k) = 0 + 4 (81k) = 0 + 4 Combine like terms: 0 + 4 = 4 (81k) = 4 Divide each side by '81'. k = 0.04938271605 Simplifying k = 0.04938271605Solution
k = {0, 0.04938271605}
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