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Simplifying 4k2 + -24k = -64 Reorder the terms: -24k + 4k2 = -64 Solving -24k + 4k2 = -64 Solving for variable 'k'. Reorder the terms: 64 + -24k + 4k2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + -24k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -6k + k2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(16 + -6k + k2)' equal to zero and attempt to solve: Simplifying 16 + -6k + k2 = 0 Solving 16 + -6k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -6k + -16 + k2 = 0 + -16 Reorder the terms: 16 + -16 + -6k + k2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6k + k2 = 0 + -16 -6k + k2 = 0 + -16 Combine like terms: 0 + -16 = -16 -6k + k2 = -16 The k term is -6k. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6k + 9 + k2 = -16 + 9 Reorder the terms: 9 + -6k + k2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + -6k + k2 = -7 Factor a perfect square on the left side: (k + -3)(k + -3) = -7 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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