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Simplifying 7k2 + 28k + 56 = 0 Reorder the terms: 56 + 28k + 7k2 = 0 Solving 56 + 28k + 7k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '7'. 7(8 + 4k + k2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(8 + 4k + k2)' equal to zero and attempt to solve: Simplifying 8 + 4k + k2 = 0 Solving 8 + 4k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 4k + -8 + k2 = 0 + -8 Reorder the terms: 8 + -8 + 4k + k2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4k + k2 = 0 + -8 4k + k2 = 0 + -8 Combine like terms: 0 + -8 = -8 4k + k2 = -8 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 = -8 + 4 Reorder the terms: 4 + 4k + k2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + 4k + k2 = -4 Factor a perfect square on the left side: (k + 2)(k + 2) = -4 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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