(m-7)(m+3)=

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

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

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

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

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

Combine like terms: -7m + 3m = -4m
(-21 + -4m + m2) = 0

Solving
-21 + -4m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -1m)(7 + -1m) = 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 + -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 = {-3, 7}