(M+3)(2m^2-4m+7)=

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Solution for (M+3)(2m^2-4m+7)= equation: 


Simplifying
(M + 3)(2m2 + -4m + 7) = 0

Reorder the terms:
(3 + M)(2m2 + -4m + 7) = 0

Reorder the terms:
(3 + M)(7 + -4m + 2m2) = 0

Multiply (3 + M) * (7 + -4m + 2m2)
(3(7 + -4m + 2m2) + M(7 + -4m + 2m2)) = 0
((7 * 3 + -4m * 3 + 2m2 * 3) + M(7 + -4m + 2m2)) = 0
((21 + -12m + 6m2) + M(7 + -4m + 2m2)) = 0
(21 + -12m + 6m2 + (7 * M + -4m * M + 2m2 * M)) = 0
(21 + -12m + 6m2 + (7M + -4mM + 2m2M)) = 0

Reorder the terms:
(21 + 7M + -12m + -4mM + 6m2 + 2m2M) = 0
(21 + 7M + -12m + -4mM + 6m2 + 2m2M) = 0

Solving
21 + 7M + -12m + -4mM + 6m2 + 2m2M = 0

Solving for variable 'M'.

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

Add '-21' to each side of the equation.
21 + 7M + -12m + -4mM + 6m2 + -21 + 2m2M = 0 + -21

Reorder the terms:
21 + -21 + 7M + -12m + -4mM + 6m2 + 2m2M = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7M + -12m + -4mM + 6m2 + 2m2M = 0 + -21
7M + -12m + -4mM + 6m2 + 2m2M = 0 + -21

Combine like terms: 0 + -21 = -21
7M + -12m + -4mM + 6m2 + 2m2M = -21

Add '12m' to each side of the equation.
7M + -12m + -4mM + 6m2 + 12m + 2m2M = -21 + 12m

Reorder the terms:
7M + -12m + 12m + -4mM + 6m2 + 2m2M = -21 + 12m

Combine like terms: -12m + 12m = 0
7M + 0 + -4mM + 6m2 + 2m2M = -21 + 12m
7M + -4mM + 6m2 + 2m2M = -21 + 12m

Add '-6m2' to each side of the equation.
7M + -4mM + 6m2 + -6m2 + 2m2M = -21 + 12m + -6m2

Combine like terms: 6m2 + -6m2 = 0
7M + -4mM + 0 + 2m2M = -21 + 12m + -6m2
7M + -4mM + 2m2M = -21 + 12m + -6m2

Reorder the terms:
21 + 7M + -12m + -4mM + 6m2 + 2m2M = -21 + 12m + -6m2 + 21 + -12m + 6m2

Reorder the terms:
21 + 7M + -12m + -4mM + 6m2 + 2m2M = -21 + 21 + 12m + -12m + -6m2 + 6m2

Combine like terms: -21 + 21 = 0
21 + 7M + -12m + -4mM + 6m2 + 2m2M = 0 + 12m + -12m + -6m2 + 6m2
21 + 7M + -12m + -4mM + 6m2 + 2m2M = 12m + -12m + -6m2 + 6m2

Combine like terms: 12m + -12m = 0
21 + 7M + -12m + -4mM + 6m2 + 2m2M = 0 + -6m2 + 6m2
21 + 7M + -12m + -4mM + 6m2 + 2m2M = -6m2 + 6m2

Combine like terms: -6m2 + 6m2 = 0
21 + 7M + -12m + -4mM + 6m2 + 2m2M = 0

The solution to this equation could not be determined.

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