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Simplifying 4k2 + -8k + -3 = -3 + -1k Reorder the terms: -3 + -8k + 4k2 = -3 + -1k Add '3' to each side of the equation. -3 + -8k + 3 + 4k2 = -3 + 3 + -1k Reorder the terms: -3 + 3 + -8k + 4k2 = -3 + 3 + -1k Combine like terms: -3 + 3 = 0 0 + -8k + 4k2 = -3 + 3 + -1k -8k + 4k2 = -3 + 3 + -1k Combine like terms: -3 + 3 = 0 -8k + 4k2 = 0 + -1k -8k + 4k2 = -1k Solving -8k + 4k2 = -1k Solving for variable 'k'. Reorder the terms: -8k + k + 4k2 = -1k + k Combine like terms: -8k + k = -7k -7k + 4k2 = -1k + k Combine like terms: -1k + k = 0 -7k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-7 + 4k) = 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 + 4k)' equal to zero and attempt to solve: Simplifying -7 + 4k = 0 Solving -7 + 4k = 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 + 4k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = 0 + 7 4k = 0 + 7 Combine like terms: 0 + 7 = 7 4k = 7 Divide each side by '4'. k = 1.75 Simplifying k = 1.75Solution
k = {0, 1.75}
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