(2k^2)-6k+8=0

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Solution for (2k^2)-6k+8=0 equation:


Simplifying
(2k2) + -6k + 8 = 0

Reorder the terms:
8 + -6k + (2k2) = 0

Solving
8 + -6k + (2k2) = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -3k + k2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -3k + k2)' equal to zero and attempt to solve: Simplifying 4 + -3k + k2 = 0 Solving 4 + -3k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3k + -4 + k2 = 0 + -4 Reorder the terms: 4 + -4 + -3k + k2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k + k2 = 0 + -4 -3k + k2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3k + k2 = -4 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 = -4 + 2.25 Reorder the terms: 2.25 + -3k + k2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3k + k2 = -1.75 Factor a perfect square on the left side: (k + -1.5)(k + -1.5) = -1.75 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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