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

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

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

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

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

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

Solving for variable 'm'.

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

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

Combine like terms: 24 + -24 = 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.