-4m(m+3)=24

Solution for -4m(m+3)=24 equation:

Simplifying
-4m(m + 3) = 24

Reorder the terms:
-4m(3 + m) = 24
(3 * -4m + m * -4m) = 24
(-12m + -4m2) = 24

Solving
-12m + -4m2 = 24

Solving for variable 'm'.

Reorder the terms:
-24 + -12m + -4m2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -12m + -4m2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(6 + 3m + m2) = 0

Ignore the factor -4.
Subproblem 1
Set the factor '(6 + 3m + m2)' equal to zero and attempt to solve:

Simplifying
6 + 3m + m2 = 0

Solving
6 + 3m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3m + -6 + m2 = 0 + -6

Reorder the terms:
6 + -6 + 3m + m2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3m + m2 = 0 + -6
3m + m2 = 0 + -6

Combine like terms: 0 + -6 = -6
3m + m2 = -6

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 = -6 + 2.25

Reorder the terms:
2.25 + 3m + m2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3m + m2 = -3.75

Factor a perfect square on the left side:
(m + 1.5)(m + 1.5) = -3.75

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.