(2m-5)(m-7)=0

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Solution for (2m-5)(m-7)=0 equation: 


Simplifying
(2m + -5)(m + -7) = 0

Reorder the terms:
(-5 + 2m)(m + -7) = 0

Reorder the terms:
(-5 + 2m)(-7 + m) = 0

Multiply (-5 + 2m) * (-7 + m)
(-5(-7 + m) + 2m * (-7 + m)) = 0
((-7 * -5 + m * -5) + 2m * (-7 + m)) = 0
((35 + -5m) + 2m * (-7 + m)) = 0
(35 + -5m + (-7 * 2m + m * 2m)) = 0
(35 + -5m + (-14m + 2m2)) = 0

Combine like terms: -5m + -14m = -19m
(35 + -19m + 2m2) = 0

Solving
35 + -19m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -2m)(7 + -1m) = 0


Subproblem 1
Set the factor '(5 + -2m)' equal to zero and attempt to solve:

Simplifying
5 + -2m = 0

Solving
5 + -2m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = 0 + -5
-2m = 0 + -5

Combine like terms: 0 + -5 = -5
-2m = -5

Divide each side by '-2'.
m = 2.5

Simplifying
m = 2.5

Subproblem 2
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
Solution
m = {2.5, 7}

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