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Simplifying 25k3 + -4k = 0 Reorder the terms: -4k + 25k3 = 0 Solving -4k + 25k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-4 + 25k2) = 0 Factor a difference between two squares. k((2 + 5k)(-2 + 5k)) = 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 '(2 + 5k)' equal to zero and attempt to solve: Simplifying 2 + 5k = 0 Solving 2 + 5k = 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 + 5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 0 + -2 5k = 0 + -2 Combine like terms: 0 + -2 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4Subproblem 3
Set the factor '(-2 + 5k)' equal to zero and attempt to solve: Simplifying -2 + 5k = 0 Solving -2 + 5k = 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 + 5k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5k = 0 + 2 5k = 0 + 2 Combine like terms: 0 + 2 = 2 5k = 2 Divide each side by '5'. k = 0.4 Simplifying k = 0.4Solution
k = {0, -0.4, 0.4}
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