(m-7)(m-8)=0

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Solution for (m-7)(m-8)=0 equation: 


Simplifying
(m + -7)(m + -8) = 0

Reorder the terms:
(-7 + m)(m + -8) = 0

Reorder the terms:
(-7 + m)(-8 + m) = 0

Multiply (-7 + m) * (-8 + m)
(-7(-8 + m) + m(-8 + m)) = 0
((-8 * -7 + m * -7) + m(-8 + m)) = 0
((56 + -7m) + m(-8 + m)) = 0
(56 + -7m + (-8 * m + m * m)) = 0
(56 + -7m + (-8m + m2)) = 0

Combine like terms: -7m + -8m = -15m
(56 + -15m + m2) = 0

Solving
56 + -15m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -1m)(8 + -1m) = 0


Subproblem 1
Set the factor '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 0 + -7

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

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

Divide each side by '-1'.
m = 7

Simplifying
m = 7

Subproblem 2
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
Solution
m = {7, 8}

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