3k(2k+1)-9k+15=

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Solution for 3k(2k+1)-9k+15= equation: 


Simplifying
3k(2k + 1) + -9k + 15 = 0

Reorder the terms:
3k(1 + 2k) + -9k + 15 = 0
(1 * 3k + 2k * 3k) + -9k + 15 = 0
(3k + 6k2) + -9k + 15 = 0

Reorder the terms:
15 + 3k + -9k + 6k2 = 0

Combine like terms: 3k + -9k = -6k
15 + -6k + 6k2 = 0

Solving
15 + -6k + 6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -2k + 2k2) = 0

Ignore the factor 3.

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

Simplifying
5 + -2k + 2k2 = 0

Solving
5 + -2k + 2k2 = 0

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

Divide each side by '2'.
2.5 + -1k + k2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1k + -2.5 + k2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1k + k2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1k + k2 = 0 + -2.5
-1k + k2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1k + k2 = -2.5

The k term is -1k.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1k + 0.25 + k2 = -2.5 + 0.25

Reorder the terms:
0.25 + -1k + k2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -1k + k2 = -2.25

Factor a perfect square on the left side:
(k + -0.5)(k + -0.5) = -2.25

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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