m^2-m-15=m-7

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Solution for m^2-m-15=m-7 equation: 


Simplifying
m2 + -1m + -15 = m + -7

Reorder the terms:
-15 + -1m + m2 = m + -7

Reorder the terms:
-15 + -1m + m2 = -7 + m

Solving
-15 + -1m + m2 = -7 + m

Solving for variable 'm'.

Reorder the terms:
-15 + 7 + -1m + -1m + m2 = -7 + m + 7 + -1m

Combine like terms: -15 + 7 = -8
-8 + -1m + -1m + m2 = -7 + m + 7 + -1m

Combine like terms: -1m + -1m = -2m
-8 + -2m + m2 = -7 + m + 7 + -1m

Reorder the terms:
-8 + -2m + m2 = -7 + 7 + m + -1m

Combine like terms: -7 + 7 = 0
-8 + -2m + m2 = 0 + m + -1m
-8 + -2m + m2 = m + -1m

Combine like terms: m + -1m = 0
-8 + -2m + m2 = 0

Factor a trinomial.
(-2 + -1m)(4 + -1m) = 0


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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2

Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-2, 4}

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