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Simplifying 21k2 + -35k + -8 = -8 Reorder the terms: -8 + -35k + 21k2 = -8 Add '8' to each side of the equation. -8 + -35k + 8 + 21k2 = -8 + 8 Reorder the terms: -8 + 8 + -35k + 21k2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + -35k + 21k2 = -8 + 8 -35k + 21k2 = -8 + 8 Combine like terms: -8 + 8 = 0 -35k + 21k2 = 0 Solving -35k + 21k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '7k'. 7k(-5 + 3k) = 0 Ignore the factor 7.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 '(-5 + 3k)' equal to zero and attempt to solve: Simplifying -5 + 3k = 0 Solving -5 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 0 + 5 3k = 0 + 5 Combine like terms: 0 + 5 = 5 3k = 5 Divide each side by '3'. k = 1.666666667 Simplifying k = 1.666666667Solution
k = {0, 1.666666667}
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