(2m-7)(m-3)=

Solution for (2m-7)(m-3)= equation:

Simplifying
(2m + -7)(m + -3) = 0

Reorder the terms:
(-7 + 2m)(m + -3) = 0

Reorder the terms:
(-7 + 2m)(-3 + m) = 0

Multiply (-7 + 2m) * (-3 + m)
(-7(-3 + m) + 2m * (-3 + m)) = 0
((-3 * -7 + m * -7) + 2m * (-3 + m)) = 0
((21 + -7m) + 2m * (-3 + m)) = 0
(21 + -7m + (-3 * 2m + m * 2m)) = 0
(21 + -7m + (-6m + 2m2)) = 0

Combine like terms: -7m + -6m = -13m
(21 + -13m + 2m2) = 0

Solving
21 + -13m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -1m)(7 + -2m) = 0

Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve:

Simplifying
7 + -2m = 0

Solving
7 + -2m = 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 + -2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m = 0 + -7
-2m = 0 + -7

Combine like terms: 0 + -7 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {3, 3.5}