12=-50+20k-2k^2

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Solution for 12=-50+20k-2k^2 equation: 


Simplifying
12 = -50 + 20k + -2k2

Solving
12 = -50 + 20k + -2k2

Solving for variable 'k'.

Combine like terms: 12 + 50 = 62
62 + -20k + 2k2 = -50 + 20k + -2k2 + 50 + -20k + 2k2

Reorder the terms:
62 + -20k + 2k2 = -50 + 50 + 20k + -20k + -2k2 + 2k2

Combine like terms: -50 + 50 = 0
62 + -20k + 2k2 = 0 + 20k + -20k + -2k2 + 2k2
62 + -20k + 2k2 = 20k + -20k + -2k2 + 2k2

Combine like terms: 20k + -20k = 0
62 + -20k + 2k2 = 0 + -2k2 + 2k2
62 + -20k + 2k2 = -2k2 + 2k2

Combine like terms: -2k2 + 2k2 = 0
62 + -20k + 2k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(31 + -10k + k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(31 + -10k + k2)' equal to zero and attempt to solve:

Simplifying
31 + -10k + k2 = 0

Solving
31 + -10k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -10k + -31 + k2 = 0 + -31

Reorder the terms:
31 + -31 + -10k + k2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -10k + k2 = 0 + -31
-10k + k2 = 0 + -31

Combine like terms: 0 + -31 = -31
-10k + k2 = -31

The k term is -10k.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10k + 25 + k2 = -31 + 25

Reorder the terms:
25 + -10k + k2 = -31 + 25

Combine like terms: -31 + 25 = -6
25 + -10k + k2 = -6

Factor a perfect square on the left side:
(k + -5)(k + -5) = -6

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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