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Simplifying 8k2 + 16k + 80 = 0 Reorder the terms: 80 + 16k + 8k2 = 0 Solving 80 + 16k + 8k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8'. 8(10 + 2k + k2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(10 + 2k + k2)' equal to zero and attempt to solve: Simplifying 10 + 2k + k2 = 0 Solving 10 + 2k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 2k + -10 + k2 = 0 + -10 Reorder the terms: 10 + -10 + 2k + k2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2k + k2 = 0 + -10 2k + k2 = 0 + -10 Combine like terms: 0 + -10 = -10 2k + k2 = -10 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 = -10 + 1 Reorder the terms: 1 + 2k + k2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + 2k + k2 = -9 Factor a perfect square on the left side: (k + 1)(k + 1) = -9 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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