78=-3(m+6)m

Solution for 78=-3(m+6)m equation:

Simplifying
78 = -3(m + 6) * m

Reorder the terms:
78 = -3(6 + m) * m

Reorder the terms for easier multiplication:
78 = -3m(6 + m)
78 = (6 * -3m + m * -3m)
78 = (-18m + -3m2)

Solving
78 = -18m + -3m2

Solving for variable 'm'.

Reorder the terms:
78 + 18m + 3m2 = -18m + 18m + -3m2 + 3m2

Combine like terms: -18m + 18m = 0
78 + 18m + 3m2 = 0 + -3m2 + 3m2
78 + 18m + 3m2 = -3m2 + 3m2

Combine like terms: -3m2 + 3m2 = 0
78 + 18m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(26 + 6m + m2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(26 + 6m + m2)' equal to zero and attempt to solve:

Simplifying
26 + 6m + m2 = 0

Solving
26 + 6m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + 6m + -26 + m2 = 0 + -26

Reorder the terms:
26 + -26 + 6m + m2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 6m + m2 = 0 + -26
6m + m2 = 0 + -26

Combine like terms: 0 + -26 = -26
6m + m2 = -26

The m term is 6m.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6m + 9 + m2 = -26 + 9

Reorder the terms:
9 + 6m + m2 = -26 + 9

Combine like terms: -26 + 9 = -17
9 + 6m + m2 = -17

Factor a perfect square on the left side:
(m + 3)(m + 3) = -17

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.