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Simplifying 5k2 + 50k + 300 = 0 Reorder the terms: 300 + 50k + 5k2 = 0 Solving 300 + 50k + 5k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(60 + 10k + k2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(60 + 10k + k2)' equal to zero and attempt to solve: Simplifying 60 + 10k + k2 = 0 Solving 60 + 10k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 10k + -60 + k2 = 0 + -60 Reorder the terms: 60 + -60 + 10k + k2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 10k + k2 = 0 + -60 10k + k2 = 0 + -60 Combine like terms: 0 + -60 = -60 10k + k2 = -60 The k term is 10k. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10k + 25 + k2 = -60 + 25 Reorder the terms: 25 + 10k + k2 = -60 + 25 Combine like terms: -60 + 25 = -35 25 + 10k + k2 = -35 Factor a perfect square on the left side: (k + 5)(k + 5) = -35 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. The solution to this equation could not be determined.
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