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Simplifying 4k(k2 + -12) = 0 Reorder the terms: 4k(-12 + k2) = 0 (-12 * 4k + k2 * 4k) = 0 (-48k + 4k3) = 0 Solving -48k + 4k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(-12 + k2) = 0 Ignore the factor 4.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 '(-12 + k2)' equal to zero and attempt to solve: Simplifying -12 + k2 = 0 Solving -12 + k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + k2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + k2 = 0 + 12 k2 = 0 + 12 Combine like terms: 0 + 12 = 12 k2 = 12 Simplifying k2 = 12 Take the square root of each side: k = {-3.464101615, 3.464101615}Solution
k = {0, -3.464101615, 3.464101615}
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