48=-3(m+4)m

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Solution for 48=-3(m+4)m equation: 


Simplifying
48 = -3(m + 4) * m

Reorder the terms:
48 = -3(4 + m) * m

Reorder the terms for easier multiplication:
48 = -3m(4 + m)
48 = (4 * -3m + m * -3m)
48 = (-12m + -3m2)

Solving
48 = -12m + -3m2

Solving for variable 'm'.

Reorder the terms:
48 + 12m + 3m2 = -12m + 12m + -3m2 + 3m2

Combine like terms: -12m + 12m = 0
48 + 12m + 3m2 = 0 + -3m2 + 3m2
48 + 12m + 3m2 = -3m2 + 3m2

Combine like terms: -3m2 + 3m2 = 0
48 + 12m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 4m + m2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(16 + 4m + m2)' equal to zero and attempt to solve:

Simplifying
16 + 4m + m2 = 0

Solving
16 + 4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 4m + -16 + m2 = 0 + -16

Reorder the terms:
16 + -16 + 4m + m2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4m + m2 = 0 + -16
4m + m2 = 0 + -16

Combine like terms: 0 + -16 = -16
4m + m2 = -16

The m term is 4m.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4m + 4 + m2 = -16 + 4

Reorder the terms:
4 + 4m + m2 = -16 + 4

Combine like terms: -16 + 4 = -12
4 + 4m + m2 = -12

Factor a perfect square on the left side:
(m + 2)(m + 2) = -12

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.

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