(4m-2)(m-3)-m-5=(M+4)(m-1)

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Solution for (4m-2)(m-3)-m-5=(M+4)(m-1) equation: 


Simplifying
(4m + -2)(m + -3) + -1m + -5 = (M + 4)(m + -1)

Reorder the terms:
(-2 + 4m)(m + -3) + -1m + -5 = (M + 4)(m + -1)

Reorder the terms:
(-2 + 4m)(-3 + m) + -1m + -5 = (M + 4)(m + -1)

Multiply (-2 + 4m) * (-3 + m)
(-2(-3 + m) + 4m * (-3 + m)) + -1m + -5 = (M + 4)(m + -1)
((-3 * -2 + m * -2) + 4m * (-3 + m)) + -1m + -5 = (M + 4)(m + -1)
((6 + -2m) + 4m * (-3 + m)) + -1m + -5 = (M + 4)(m + -1)
(6 + -2m + (-3 * 4m + m * 4m)) + -1m + -5 = (M + 4)(m + -1)
(6 + -2m + (-12m + 4m2)) + -1m + -5 = (M + 4)(m + -1)

Combine like terms: -2m + -12m = -14m
(6 + -14m + 4m2) + -1m + -5 = (M + 4)(m + -1)

Reorder the terms:
6 + -5 + -14m + -1m + 4m2 = (M + 4)(m + -1)

Combine like terms: 6 + -5 = 1
1 + -14m + -1m + 4m2 = (M + 4)(m + -1)

Combine like terms: -14m + -1m = -15m
1 + -15m + 4m2 = (M + 4)(m + -1)

Reorder the terms:
1 + -15m + 4m2 = (4 + M)(m + -1)

Reorder the terms:
1 + -15m + 4m2 = (4 + M)(-1 + m)

Multiply (4 + M) * (-1 + m)
1 + -15m + 4m2 = (4(-1 + m) + M(-1 + m))
1 + -15m + 4m2 = ((-1 * 4 + m * 4) + M(-1 + m))
1 + -15m + 4m2 = ((-4 + 4m) + M(-1 + m))
1 + -15m + 4m2 = (-4 + 4m + (-1 * M + m * M))
1 + -15m + 4m2 = (-4 + 4m + (-1M + mM))

Reorder the terms:
1 + -15m + 4m2 = (-4 + -1M + 4m + mM)
1 + -15m + 4m2 = (-4 + -1M + 4m + mM)

Solving
1 + -15m + 4m2 = -4 + -1M + 4m + mM

Solving for variable 'm'.

Reorder the terms:
1 + 4 + M + -15m + -4m + -1mM + 4m2 = -4 + -1M + 4m + mM + 4 + M + -4m + -1mM

Combine like terms: 1 + 4 = 5
5 + M + -15m + -4m + -1mM + 4m2 = -4 + -1M + 4m + mM + 4 + M + -4m + -1mM

Combine like terms: -15m + -4m = -19m
5 + M + -19m + -1mM + 4m2 = -4 + -1M + 4m + mM + 4 + M + -4m + -1mM

Reorder the terms:
5 + M + -19m + -1mM + 4m2 = -4 + 4 + -1M + M + 4m + -4m + mM + -1mM

Combine like terms: -4 + 4 = 0
5 + M + -19m + -1mM + 4m2 = 0 + -1M + M + 4m + -4m + mM + -1mM
5 + M + -19m + -1mM + 4m2 = -1M + M + 4m + -4m + mM + -1mM

Combine like terms: -1M + M = 0
5 + M + -19m + -1mM + 4m2 = 0 + 4m + -4m + mM + -1mM
5 + M + -19m + -1mM + 4m2 = 4m + -4m + mM + -1mM

Combine like terms: 4m + -4m = 0
5 + M + -19m + -1mM + 4m2 = 0 + mM + -1mM
5 + M + -19m + -1mM + 4m2 = mM + -1mM

Combine like terms: mM + -1mM = 0
5 + M + -19m + -1mM + 4m2 = 0

The solution to this equation could not be determined.

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