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Simplifying -8k2 + -4(-4k)(1) = 0 Remove parenthesis around (-4k) -8k2 + -4 * -4k(1) = 0 Reorder the terms for easier multiplication: -8k2 + -4 * -4 * 1k = 0 Multiply -4 * -4 -8k2 + 16 * 1k = 0 Multiply 16 * 1 -8k2 + 16k = 0 Reorder the terms: 16k + -8k2 = 0 Solving 16k + -8k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k'. 8k(2 + -1k) = 0 Ignore the factor 8.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 '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Solution
k = {0, 2}
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