(m+6)(m-1)=-10

Solution for (m+6)(m-1)=-10 equation:

Simplifying
(m + 6)(m + -1) = -10

Reorder the terms:
(6 + m)(m + -1) = -10

Reorder the terms:
(6 + m)(-1 + m) = -10

Multiply (6 + m) * (-1 + m)
(6(-1 + m) + m(-1 + m)) = -10
((-1 * 6 + m * 6) + m(-1 + m)) = -10
((-6 + 6m) + m(-1 + m)) = -10
(-6 + 6m + (-1 * m + m * m)) = -10
(-6 + 6m + (-1m + m2)) = -10

Combine like terms: 6m + -1m = 5m
(-6 + 5m + m2) = -10

Solving
-6 + 5m + m2 = -10

Solving for variable 'm'.

Reorder the terms:
-6 + 10 + 5m + m2 = -10 + 10

Combine like terms: -6 + 10 = 4
4 + 5m + m2 = -10 + 10

Combine like terms: -10 + 10 = 0
4 + 5m + m2 = 0

Factor a trinomial.
(4 + m)(1 + m) = 0

Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 0

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

Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + m = 0 + -4
m = 0 + -4

Combine like terms: 0 + -4 = -4
m = -4

Simplifying
m = -4
Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 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 + m = 0 + -1

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

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

Simplifying
m = -1
Solution
m = {-4, -1}