0=k^2+2k+70

Solution for 0=k^2+2k+70 equation:

Simplifying
0 = k2 + 2k + 70

Reorder the terms:
0 = 70 + 2k + k2

Solving
0 = 70 + 2k + k2

Solving for variable 'k'.

Combine like terms: 0 + -70 = -70
-70 + -2k + -1k2 = 70 + 2k + k2 + -70 + -2k + -1k2

Reorder the terms:
-70 + -2k + -1k2 = 70 + -70 + 2k + -2k + k2 + -1k2

Combine like terms: 70 + -70 = 0
-70 + -2k + -1k2 = 0 + 2k + -2k + k2 + -1k2
-70 + -2k + -1k2 = 2k + -2k + k2 + -1k2

Combine like terms: 2k + -2k = 0
-70 + -2k + -1k2 = 0 + k2 + -1k2
-70 + -2k + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
-70 + -2k + -1k2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(70 + 2k + k2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(70 + 2k + k2)' equal to zero and attempt to solve:

Simplifying
70 + 2k + k2 = 0

Solving
70 + 2k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-70' to each side of the equation.
70 + 2k + -70 + k2 = 0 + -70

Reorder the terms:
70 + -70 + 2k + k2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + 2k + k2 = 0 + -70
2k + k2 = 0 + -70

Combine like terms: 0 + -70 = -70
2k + k2 = -70

The k term is 2k.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2k + 1 + k2 = -70 + 1

Reorder the terms:
1 + 2k + k2 = -70 + 1

Combine like terms: -70 + 1 = -69
1 + 2k + k2 = -69

Factor a perfect square on the left side:
(k + 1)(k + 1) = -69

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.