24=-6m(m+1)+18

Solution for 24=-6m(m+1)+18 equation:

Simplifying
24 = -6m(m + 1) + 18

Reorder the terms:
24 = -6m(1 + m) + 18
24 = (1 * -6m + m * -6m) + 18
24 = (-6m + -6m2) + 18

Reorder the terms:
24 = 18 + -6m + -6m2

Solving
24 = 18 + -6m + -6m2

Solving for variable 'm'.

Combine like terms: 24 + -18 = 6
6 + 6m + 6m2 = 18 + -6m + -6m2 + -18 + 6m + 6m2

Reorder the terms:
6 + 6m + 6m2 = 18 + -18 + -6m + 6m + -6m2 + 6m2

Combine like terms: 18 + -18 = 0
6 + 6m + 6m2 = 0 + -6m + 6m + -6m2 + 6m2
6 + 6m + 6m2 = -6m + 6m + -6m2 + 6m2

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

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

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + m + m2) = 0

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

Simplifying
1 + m + m2 = 0

Solving
1 + m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + m + -1 + m2 = 0 + -1

Reorder the terms:
1 + -1 + m + m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m + m2 = 0 + -1
m + m2 = 0 + -1

Combine like terms: 0 + -1 = -1
m + m2 = -1

The m term is m.  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.
m + 0.25 + m2 = -1 + 0.25

Reorder the terms:
0.25 + m + m2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + m + m2 = -0.75

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.75

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.