-6(m+7)=m(m+7)

Solution for -6(m+7)=m(m+7) equation:

Simplifying
-6(m + 7) = m(m + 7)

Reorder the terms:
-6(7 + m) = m(m + 7)
(7 * -6 + m * -6) = m(m + 7)
(-42 + -6m) = m(m + 7)

Reorder the terms:
-42 + -6m = m(7 + m)
-42 + -6m = (7 * m + m * m)
-42 + -6m = (7m + m2)

Solving
-42 + -6m = 7m + m2

Solving for variable 'm'.

Combine like terms: -6m + -7m = -13m
-42 + -13m + -1m2 = 7m + m2 + -7m + -1m2

Reorder the terms:
-42 + -13m + -1m2 = 7m + -7m + m2 + -1m2

Combine like terms: 7m + -7m = 0
-42 + -13m + -1m2 = 0 + m2 + -1m2
-42 + -13m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-42 + -13m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(42 + 13m + m2) = 0

Factor a trinomial.
-1((7 + m)(6 + m)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

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

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

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

Simplifying
m = -7
Subproblem 2
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
Solution
m = {-7, -6}