m(10m-14)=21m

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Solution for m(10m-14)=21m equation: 


Simplifying
m(10m + -14) = 21m

Reorder the terms:
m(-14 + 10m) = 21m
(-14 * m + 10m * m) = 21m
(-14m + 10m2) = 21m

Solving
-14m + 10m2 = 21m

Solving for variable 'm'.

Reorder the terms:
-14m + -21m + 10m2 = 21m + -21m

Combine like terms: -14m + -21m = -35m
-35m + 10m2 = 21m + -21m

Combine like terms: 21m + -21m = 0
-35m + 10m2 = 0

Factor out the Greatest Common Factor (GCF), '5m'.
5m(-7 + 2m) = 0

Ignore the factor 5.

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 '(-7 + 2m)' equal to zero and attempt to solve:

Simplifying
-7 + 2m = 0

Solving
-7 + 2m = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2m = 0 + 7
2m = 0 + 7

Combine like terms: 0 + 7 = 7
2m = 7

Divide each side by '2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {0, 3.5}

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