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Simplifying 4k2 + -8k + 12 = 0 Reorder the terms: 12 + -8k + 4k2 = 0 Solving 12 + -8k + 4k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -2k + k2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -2k + k2)' equal to zero and attempt to solve: Simplifying 3 + -2k + k2 = 0 Solving 3 + -2k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2k + -3 + k2 = 0 + -3 Reorder the terms: 3 + -3 + -2k + k2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k + k2 = 0 + -3 -2k + k2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2k + k2 = -3 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 = -3 + 1 Reorder the terms: 1 + -2k + k2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + -2k + k2 = -2 Factor a perfect square on the left side: (k + -1)(k + -1) = -2 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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