-m(m-3)-2(m+6)=3m-1

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Solution for -m(m-3)-2(m+6)=3m-1 equation: 


Simplifying
-1m(m + -3) + -2(m + 6) = 3m + -1

Reorder the terms:
-1m(-3 + m) + -2(m + 6) = 3m + -1
(-3 * -1m + m * -1m) + -2(m + 6) = 3m + -1
(3m + -1m2) + -2(m + 6) = 3m + -1

Reorder the terms:
3m + -1m2 + -2(6 + m) = 3m + -1
3m + -1m2 + (6 * -2 + m * -2) = 3m + -1
3m + -1m2 + (-12 + -2m) = 3m + -1

Reorder the terms:
-12 + 3m + -2m + -1m2 = 3m + -1

Combine like terms: 3m + -2m = 1m
-12 + 1m + -1m2 = 3m + -1

Reorder the terms:
-12 + 1m + -1m2 = -1 + 3m

Solving
-12 + 1m + -1m2 = -1 + 3m

Solving for variable 'm'.

Reorder the terms:
-12 + 1 + 1m + -3m + -1m2 = -1 + 3m + 1 + -3m

Combine like terms: -12 + 1 = -11
-11 + 1m + -3m + -1m2 = -1 + 3m + 1 + -3m

Combine like terms: 1m + -3m = -2m
-11 + -2m + -1m2 = -1 + 3m + 1 + -3m

Reorder the terms:
-11 + -2m + -1m2 = -1 + 1 + 3m + -3m

Combine like terms: -1 + 1 = 0
-11 + -2m + -1m2 = 0 + 3m + -3m
-11 + -2m + -1m2 = 3m + -3m

Combine like terms: 3m + -3m = 0
-11 + -2m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 2m + m2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 2m + m2)' equal to zero and attempt to solve:

Simplifying
11 + 2m + m2 = 0

Solving
11 + 2m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2m + -11 + m2 = 0 + -11

Reorder the terms:
11 + -11 + 2m + m2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2m + m2 = 0 + -11
2m + m2 = 0 + -11

Combine like terms: 0 + -11 = -11
2m + m2 = -11

The m term is 2m.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2m + 1 + m2 = -11 + 1

Reorder the terms:
1 + 2m + m2 = -11 + 1

Combine like terms: -11 + 1 = -10
1 + 2m + m2 = -10

Factor a perfect square on the left side:
(m + 1)(m + 1) = -10

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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