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Simplifying 10k3 + 20k2 + 6260k = 0 Reorder the terms: 6260k + 20k2 + 10k3 = 0 Solving 6260k + 20k2 + 10k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '10k'. 10k(626 + 2k + k2) = 0 Ignore the factor 10.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 '(626 + 2k + k2)' equal to zero and attempt to solve: Simplifying 626 + 2k + k2 = 0 Solving 626 + 2k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-626' to each side of the equation. 626 + 2k + -626 + k2 = 0 + -626 Reorder the terms: 626 + -626 + 2k + k2 = 0 + -626 Combine like terms: 626 + -626 = 0 0 + 2k + k2 = 0 + -626 2k + k2 = 0 + -626 Combine like terms: 0 + -626 = -626 2k + k2 = -626 The k term is 2k. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2k + 1 + k2 = -626 + 1 Reorder the terms: 1 + 2k + k2 = -626 + 1 Combine like terms: -626 + 1 = -625 1 + 2k + k2 = -625 Factor a perfect square on the left side: (k + 1)(k + 1) = -625 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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