(M-1)(m^2+2m+6)=

Solution for (M-1)(m^2+2m+6)= equation:

Simplifying
(M + -1)(m2 + 2m + 6) = 0

Reorder the terms:
(-1 + M)(m2 + 2m + 6) = 0

Reorder the terms:
(-1 + M)(6 + 2m + m2) = 0

Multiply (-1 + M) * (6 + 2m + m2)
(-1(6 + 2m + m2) + M(6 + 2m + m2)) = 0
((6 * -1 + 2m * -1 + m2 * -1) + M(6 + 2m + m2)) = 0
((-6 + -2m + -1m2) + M(6 + 2m + m2)) = 0
(-6 + -2m + -1m2 + (6 * M + 2m * M + m2 * M)) = 0
(-6 + -2m + -1m2 + (6M + 2mM + m2M)) = 0

Reorder the terms:
(-6 + 6M + -2m + 2mM + -1m2 + m2M) = 0
(-6 + 6M + -2m + 2mM + -1m2 + m2M) = 0

Solving
-6 + 6M + -2m + 2mM + -1m2 + m2M = 0

Solving for variable 'M'.

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

Add '6' to each side of the equation.
-6 + 6M + -2m + 2mM + -1m2 + 6 + m2M = 0 + 6

Reorder the terms:
-6 + 6 + 6M + -2m + 2mM + -1m2 + m2M = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6M + -2m + 2mM + -1m2 + m2M = 0 + 6
6M + -2m + 2mM + -1m2 + m2M = 0 + 6

Combine like terms: 0 + 6 = 6
6M + -2m + 2mM + -1m2 + m2M = 6

Add '2m' to each side of the equation.
6M + -2m + 2mM + -1m2 + 2m + m2M = 6 + 2m

Reorder the terms:
6M + -2m + 2m + 2mM + -1m2 + m2M = 6 + 2m

Combine like terms: -2m + 2m = 0
6M + 0 + 2mM + -1m2 + m2M = 6 + 2m
6M + 2mM + -1m2 + m2M = 6 + 2m

Add 'm2' to each side of the equation.
6M + 2mM + -1m2 + m2 + m2M = 6 + 2m + m2

Combine like terms: -1m2 + m2 = 0
6M + 2mM + 0 + m2M = 6 + 2m + m2
6M + 2mM + m2M = 6 + 2m + m2

Reorder the terms:
-6 + 6M + -2m + 2mM + -1m2 + m2M = 6 + 2m + m2 + -6 + -2m + -1m2

Reorder the terms:
-6 + 6M + -2m + 2mM + -1m2 + m2M = 6 + -6 + 2m + -2m + m2 + -1m2

Combine like terms: 6 + -6 = 0
-6 + 6M + -2m + 2mM + -1m2 + m2M = 0 + 2m + -2m + m2 + -1m2
-6 + 6M + -2m + 2mM + -1m2 + m2M = 2m + -2m + m2 + -1m2

Combine like terms: 2m + -2m = 0
-6 + 6M + -2m + 2mM + -1m2 + m2M = 0 + m2 + -1m2
-6 + 6M + -2m + 2mM + -1m2 + m2M = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-6 + 6M + -2m + 2mM + -1m2 + m2M = 0

The solution to this equation could not be determined.