78=-2(m+3)m

Solution for 78=-2(m+3)m equation:

Simplifying
78 = -2(m + 3) * m

Reorder the terms:
78 = -2(3 + m) * m

Reorder the terms for easier multiplication:
78 = -2m(3 + m)
78 = (3 * -2m + m * -2m)
78 = (-6m + -2m2)

Solving
78 = -6m + -2m2

Solving for variable 'm'.

Reorder the terms:
78 + 6m + 2m2 = -6m + 6m + -2m2 + 2m2

Combine like terms: -6m + 6m = 0
78 + 6m + 2m2 = 0 + -2m2 + 2m2
78 + 6m + 2m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
78 + 6m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(39 + 3m + m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(39 + 3m + m2)' equal to zero and attempt to solve:

Simplifying
39 + 3m + m2 = 0

Solving
39 + 3m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 3m + -39 + m2 = 0 + -39

Reorder the terms:
39 + -39 + 3m + m2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 3m + m2 = 0 + -39
3m + m2 = 0 + -39

Combine like terms: 0 + -39 = -39
3m + m2 = -39

The m term is 3m.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3m + 2.25 + m2 = -39 + 2.25

Reorder the terms:
2.25 + 3m + m2 = -39 + 2.25

Combine like terms: -39 + 2.25 = -36.75
2.25 + 3m + m2 = -36.75

Factor a perfect square on the left side:
(m + 1.5)(m + 1.5) = -36.75

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.