6m(m-2)=3m(2m+6)

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


Simplifying
6m(m + -2) = 3m(2m + 6)

Reorder the terms:
6m(-2 + m) = 3m(2m + 6)
(-2 * 6m + m * 6m) = 3m(2m + 6)
(-12m + 6m2) = 3m(2m + 6)

Reorder the terms:
-12m + 6m2 = 3m(6 + 2m)
-12m + 6m2 = (6 * 3m + 2m * 3m)
-12m + 6m2 = (18m + 6m2)

Add '-6m2' to each side of the equation.
-12m + 6m2 + -6m2 = 18m + 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
-12m + 0 = 18m + 6m2 + -6m2
-12m = 18m + 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
-12m = 18m + 0
-12m = 18m

Solving
-12m = 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
-12m + -18m = 18m + -18m

Combine like terms: -12m + -18m = -30m
-30m = 18m + -18m

Combine like terms: 18m + -18m = 0
-30m = 0

Divide each side by '-30'.
m = 0.0

Simplifying
m = 0.0

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