-m^2-9m=-5m+10

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Solution for -m^2-9m=-5m+10 equation: 


Simplifying
-1m2 + -9m = -5m + 10

Reorder the terms:
-9m + -1m2 = -5m + 10

Reorder the terms:
-9m + -1m2 = 10 + -5m

Solving
-9m + -1m2 = 10 + -5m

Solving for variable 'm'.

Reorder the terms:
-10 + -9m + 5m + -1m2 = 10 + -5m + -10 + 5m

Combine like terms: -9m + 5m = -4m
-10 + -4m + -1m2 = 10 + -5m + -10 + 5m

Reorder the terms:
-10 + -4m + -1m2 = 10 + -10 + -5m + 5m

Combine like terms: 10 + -10 = 0
-10 + -4m + -1m2 = 0 + -5m + 5m
-10 + -4m + -1m2 = -5m + 5m

Combine like terms: -5m + 5m = 0
-10 + -4m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 4m + m2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + 4m + m2)' equal to zero and attempt to solve:

Simplifying
10 + 4m + m2 = 0

Solving
10 + 4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 4m + -10 + m2 = 0 + -10

Reorder the terms:
10 + -10 + 4m + m2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4m + m2 = 0 + -10
4m + m2 = 0 + -10

Combine like terms: 0 + -10 = -10
4m + m2 = -10

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 = -10 + 4

Reorder the terms:
4 + 4m + m2 = -10 + 4

Combine like terms: -10 + 4 = -6
4 + 4m + m2 = -6

Factor a perfect square on the left side:
(m + 2)(m + 2) = -6

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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