(m+3)(m-4)=-10

Solution for (m+3)(m-4)=-10 equation:

Simplifying
(m + 3)(m + -4) = -10

Reorder the terms:
(3 + m)(m + -4) = -10

Reorder the terms:
(3 + m)(-4 + m) = -10

Multiply (3 + m) * (-4 + m)
(3(-4 + m) + m(-4 + m)) = -10
((-4 * 3 + m * 3) + m(-4 + m)) = -10
((-12 + 3m) + m(-4 + m)) = -10
(-12 + 3m + (-4 * m + m * m)) = -10
(-12 + 3m + (-4m + m2)) = -10

Combine like terms: 3m + -4m = -1m
(-12 + -1m + m2) = -10

Solving
-12 + -1m + m2 = -10

Solving for variable 'm'.

Reorder the terms:
-12 + 10 + -1m + m2 = -10 + 10

Combine like terms: -12 + 10 = -2
-2 + -1m + m2 = -10 + 10

Combine like terms: -10 + 10 = 0
-2 + -1m + m2 = 0

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

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-1, 2}