5k(k-2)-8k=-34

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Solution for 5k(k-2)-8k=-34 equation:


Simplifying
5k(k + -2) + -8k = -34

Reorder the terms:
5k(-2 + k) + -8k = -34
(-2 * 5k + k * 5k) + -8k = -34
(-10k + 5k2) + -8k = -34

Reorder the terms:
-10k + -8k + 5k2 = -34

Combine like terms: -10k + -8k = -18k
-18k + 5k2 = -34

Solving
-18k + 5k2 = -34

Solving for variable 'k'.

Reorder the terms:
34 + -18k + 5k2 = -34 + 34

Combine like terms: -34 + 34 = 0
34 + -18k + 5k2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
6.8 + -3.6k + k2 = 0

Move the constant term to the right:

Add '-6.8' to each side of the equation.
6.8 + -3.6k + -6.8 + k2 = 0 + -6.8

Reorder the terms:
6.8 + -6.8 + -3.6k + k2 = 0 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -3.6k + k2 = 0 + -6.8
-3.6k + k2 = 0 + -6.8

Combine like terms: 0 + -6.8 = -6.8
-3.6k + k2 = -6.8

The k term is -3.6k.  Take half its coefficient (-1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
-3.6k + 3.24 + k2 = -6.8 + 3.24

Reorder the terms:
3.24 + -3.6k + k2 = -6.8 + 3.24

Combine like terms: -6.8 + 3.24 = -3.56
3.24 + -3.6k + k2 = -3.56

Factor a perfect square on the left side:
(k + -1.8)(k + -1.8) = -3.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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