(m-15)(m+9)=m-15

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Solution for (m-15)(m+9)=m-15 equation: 


Simplifying
(m + -15)(m + 9) = m + -15

Reorder the terms:
(-15 + m)(m + 9) = m + -15

Reorder the terms:
(-15 + m)(9 + m) = m + -15

Multiply (-15 + m) * (9 + m)
(-15(9 + m) + m(9 + m)) = m + -15
((9 * -15 + m * -15) + m(9 + m)) = m + -15
((-135 + -15m) + m(9 + m)) = m + -15
(-135 + -15m + (9 * m + m * m)) = m + -15
(-135 + -15m + (9m + m2)) = m + -15

Combine like terms: -15m + 9m = -6m
(-135 + -6m + m2) = m + -15

Reorder the terms:
-135 + -6m + m2 = -15 + m

Solving
-135 + -6m + m2 = -15 + m

Solving for variable 'm'.

Reorder the terms:
-135 + 15 + -6m + -1m + m2 = -15 + m + 15 + -1m

Combine like terms: -135 + 15 = -120
-120 + -6m + -1m + m2 = -15 + m + 15 + -1m

Combine like terms: -6m + -1m = -7m
-120 + -7m + m2 = -15 + m + 15 + -1m

Reorder the terms:
-120 + -7m + m2 = -15 + 15 + m + -1m

Combine like terms: -15 + 15 = 0
-120 + -7m + m2 = 0 + m + -1m
-120 + -7m + m2 = m + -1m

Combine like terms: m + -1m = 0
-120 + -7m + m2 = 0

Factor a trinomial.
(-8 + -1m)(15 + -1m) = 0


Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

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

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

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 2
Set the factor '(15 + -1m)' equal to zero and attempt to solve:

Simplifying
15 + -1m = 0

Solving
15 + -1m = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 0 + -15
-1m = 0 + -15

Combine like terms: 0 + -15 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15
Solution
m = {-8, 15}

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