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Simplifying 3k2 + 9k + 9 = 0 Reorder the terms: 9 + 9k + 3k2 = 0 Solving 9 + 9k + 3k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 3k + k2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 3k + k2)' equal to zero and attempt to solve: Simplifying 3 + 3k + k2 = 0 Solving 3 + 3k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 3k + -3 + k2 = 0 + -3 Reorder the terms: 3 + -3 + 3k + k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3k + k2 = 0 + -3 3k + k2 = 0 + -3 Combine like terms: 0 + -3 = -3 3k + k2 = -3 The k term is 3k. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3k + 2.25 + k2 = -3 + 2.25 Reorder the terms: 2.25 + 3k + k2 = -3 + 2.25 Combine like terms: -3 + 2.25 = -0.75 2.25 + 3k + k2 = -0.75 Factor a perfect square on the left side: (k + 1.5)(k + 1.5) = -0.75 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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