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

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


Simplifying
M(m + -3) + -2m(m + -4) = -1(m2 + -4m)

Reorder the terms:
M(-3 + m) + -2m(m + -4) = -1(m2 + -4m)
(-3 * M + m * M) + -2m(m + -4) = -1(m2 + -4m)
(-3M + mM) + -2m(m + -4) = -1(m2 + -4m)

Reorder the terms:
-3M + mM + -2m(-4 + m) = -1(m2 + -4m)
-3M + mM + (-4 * -2m + m * -2m) = -1(m2 + -4m)
-3M + mM + (8m + -2m2) = -1(m2 + -4m)

Reorder the terms:
-3M + 8m + mM + -2m2 = -1(m2 + -4m)

Reorder the terms:
-3M + 8m + mM + -2m2 = -1(-4m + m2)
-3M + 8m + mM + -2m2 = (-4m * -1 + m2 * -1)
-3M + 8m + mM + -2m2 = (4m + -1m2)

Solving
-3M + 8m + mM + -2m2 = 4m + -1m2

Solving for variable 'M'.

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

Add '-8m' to each side of the equation.
-3M + 8m + mM + -8m + -2m2 = 4m + -8m + -1m2

Reorder the terms:
-3M + 8m + -8m + mM + -2m2 = 4m + -8m + -1m2

Combine like terms: 8m + -8m = 0
-3M + 0 + mM + -2m2 = 4m + -8m + -1m2
-3M + mM + -2m2 = 4m + -8m + -1m2

Combine like terms: 4m + -8m = -4m
-3M + mM + -2m2 = -4m + -1m2

Add '2m2' to each side of the equation.
-3M + mM + -2m2 + 2m2 = -4m + -1m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
-3M + mM + 0 = -4m + -1m2 + 2m2
-3M + mM = -4m + -1m2 + 2m2

Combine like terms: -1m2 + 2m2 = 1m2
-3M + mM = -4m + 1m2

Reorder the terms:
-3M + 4m + mM + -1m2 = -4m + 1m2 + 4m + -1m2

Reorder the terms:
-3M + 4m + mM + -1m2 = -4m + 4m + 1m2 + -1m2

Combine like terms: -4m + 4m = 0
-3M + 4m + mM + -1m2 = 0 + 1m2 + -1m2
-3M + 4m + mM + -1m2 = 1m2 + -1m2

Combine like terms: 1m2 + -1m2 = 0
-3M + 4m + mM + -1m2 = 0

The solution to this equation could not be determined.

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