(M+6)(m-7)=-12

Solution for (M+6)(m-7)=-12 equation:

Simplifying
(M + 6)(m + -7) = -12

Reorder the terms:
(6 + M)(m + -7) = -12

Reorder the terms:
(6 + M)(-7 + m) = -12

Multiply (6 + M) * (-7 + m)
(6(-7 + m) + M(-7 + m)) = -12
((-7 * 6 + m * 6) + M(-7 + m)) = -12
((-42 + 6m) + M(-7 + m)) = -12
(-42 + 6m + (-7 * M + m * M)) = -12
(-42 + 6m + (-7M + mM)) = -12

Reorder the terms:
(-42 + -7M + 6m + mM) = -12
(-42 + -7M + 6m + mM) = -12

Solving
-42 + -7M + 6m + mM = -12

Solving for variable 'M'.

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

Add '42' to each side of the equation.
-42 + -7M + 6m + 42 + mM = -12 + 42

Reorder the terms:
-42 + 42 + -7M + 6m + mM = -12 + 42

Combine like terms: -42 + 42 = 0
0 + -7M + 6m + mM = -12 + 42
-7M + 6m + mM = -12 + 42

Combine like terms: -12 + 42 = 30
-7M + 6m + mM = 30

Add '-6m' to each side of the equation.
-7M + 6m + -6m + mM = 30 + -6m

Combine like terms: 6m + -6m = 0
-7M + 0 + mM = 30 + -6m
-7M + mM = 30 + -6m

Reorder the terms:
-30 + -7M + 6m + mM = 30 + -6m + -30 + 6m

Reorder the terms:
-30 + -7M + 6m + mM = 30 + -30 + -6m + 6m

Combine like terms: 30 + -30 = 0
-30 + -7M + 6m + mM = 0 + -6m + 6m
-30 + -7M + 6m + mM = -6m + 6m

Combine like terms: -6m + 6m = 0
-30 + -7M + 6m + mM = 0

The solution to this equation could not be determined.