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Simplifying 5k2 + 20k + 100 = 0 Reorder the terms: 100 + 20k + 5k2 = 0 Solving 100 + 20k + 5k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(20 + 4k + k2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(20 + 4k + k2)' equal to zero and attempt to solve: Simplifying 20 + 4k + k2 = 0 Solving 20 + 4k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 4k + -20 + k2 = 0 + -20 Reorder the terms: 20 + -20 + 4k + k2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4k + k2 = 0 + -20 4k + k2 = 0 + -20 Combine like terms: 0 + -20 = -20 4k + k2 = -20 The k term is 4k. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4k + 4 + k2 = -20 + 4 Reorder the terms: 4 + 4k + k2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + 4k + k2 = -16 Factor a perfect square on the left side: (k + 2)(k + 2) = -16 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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