10k^2+12=-12k

Solution for 10k^2+12=-12k equation:

Simplifying
10k2 + 12 = -12k

Reorder the terms:
12 + 10k2 = -12k

Solving
12 + 10k2 = -12k

Solving for variable 'k'.

Reorder the terms:
12 + 12k + 10k2 = -12k + 12k

Combine like terms: -12k + 12k = 0
12 + 12k + 10k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 6k + 5k2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + 6k + 5k2)' equal to zero and attempt to solve:

Simplifying
6 + 6k + 5k2 = 0

Solving
6 + 6k + 5k2 = 0

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

Divide each side by '5'.
1.2 + 1.2k + k2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.2k + -1.2 + k2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.2k + k2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.2k + k2 = 0 + -1.2
1.2k + k2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.2k + k2 = -1.2

The k term is 1.2k.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2k + 0.36 + k2 = -1.2 + 0.36

Reorder the terms:
0.36 + 1.2k + k2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + 1.2k + k2 = -0.84

Factor a perfect square on the left side:
(k + 0.6)(k + 0.6) = -0.84

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.