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Simplifying (6k + 9k)(4k + -11) = 0 Combine like terms: 6k + 9k = 15k (15k)(4k + -11) = 0 Remove parenthesis around (15k) 15k(4k + -11) = 0 Reorder the terms: 15k(-11 + 4k) = 0 (-11 * 15k + 4k * 15k) = 0 (-165k + 60k2) = 0 Solving -165k + 60k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '15k'. 15k(-11 + 4k) = 0 Ignore the factor 15.Subproblem 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 '(-11 + 4k)' equal to zero and attempt to solve: Simplifying -11 + 4k = 0 Solving -11 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4k = 0 + 11 4k = 0 + 11 Combine like terms: 0 + 11 = 11 4k = 11 Divide each side by '4'. k = 2.75 Simplifying k = 2.75Solution
k = {0, 2.75}
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