2m(4m-7n)=

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Solution for 2m(4m-7n)= equation: 


Simplifying
2m(4m + -7n) = 0
(4m * 2m + -7n * 2m) = 0

Reorder the terms:
(-14mn + 8m2) = 0
(-14mn + 8m2) = 0

Solving
-14mn + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-7n + 4m) = 0

Ignore the factor 2.

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 '(-7n + 4m)' equal to zero and attempt to solve:

Simplifying
-7n + 4m = 0

Reorder the terms:
4m + -7n = 0

Solving
4m + -7n = 0

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

Add '7n' to each side of the equation.
4m + -7n + 7n = 0 + 7n

Combine like terms: -7n + 7n = 0
4m + 0 = 0 + 7n
4m = 0 + 7n
Remove the zero:
4m = 7n

Divide each side by '4'.
m = 1.75n

Simplifying
m = 1.75n
Solution
m = {0, 1.75n}

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