m(m-3)-2m(m-4)=-(m^2-4m)6

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Solution for m(m-3)-2m(m-4)=-(m^2-4m)6 equation: 


Simplifying
m(m + -3) + -2m(m + -4) = -1(m2 + -4m) * 6

Reorder the terms:
m(-3 + m) + -2m(m + -4) = -1(m2 + -4m) * 6
(-3 * m + m * m) + -2m(m + -4) = -1(m2 + -4m) * 6
(-3m + m2) + -2m(m + -4) = -1(m2 + -4m) * 6

Reorder the terms:
-3m + m2 + -2m(-4 + m) = -1(m2 + -4m) * 6
-3m + m2 + (-4 * -2m + m * -2m) = -1(m2 + -4m) * 6
-3m + m2 + (8m + -2m2) = -1(m2 + -4m) * 6

Reorder the terms:
-3m + 8m + m2 + -2m2 = -1(m2 + -4m) * 6

Combine like terms: -3m + 8m = 5m
5m + m2 + -2m2 = -1(m2 + -4m) * 6

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

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

Reorder the terms for easier multiplication:
5m + -1m2 = -1 * 6(-4m + m2)

Multiply -1 * 6
5m + -1m2 = -6(-4m + m2)
5m + -1m2 = (-4m * -6 + m2 * -6)
5m + -1m2 = (24m + -6m2)

Solving
5m + -1m2 = 24m + -6m2

Solving for variable 'm'.

Reorder the terms:
5m + -24m + -1m2 + 6m2 = 24m + -6m2 + -24m + 6m2

Combine like terms: 5m + -24m = -19m
-19m + -1m2 + 6m2 = 24m + -6m2 + -24m + 6m2

Combine like terms: -1m2 + 6m2 = 5m2
-19m + 5m2 = 24m + -6m2 + -24m + 6m2

Reorder the terms:
-19m + 5m2 = 24m + -24m + -6m2 + 6m2

Combine like terms: 24m + -24m = 0
-19m + 5m2 = 0 + -6m2 + 6m2
-19m + 5m2 = -6m2 + 6m2

Combine like terms: -6m2 + 6m2 = 0
-19m + 5m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-19 + 5m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-19 + 5m)' equal to zero and attempt to solve:

Simplifying
-19 + 5m = 0

Solving
-19 + 5m = 0

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

Add '19' to each side of the equation.
-19 + 19 + 5m = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5m = 0 + 19
5m = 0 + 19

Combine like terms: 0 + 19 = 19
5m = 19

Divide each side by '5'.
m = 3.8

Simplifying
m = 3.8
Solution
m = {0, 3.8}

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