-2m(5m+r)=

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Solution for -2m(5m+r)= equation: 


Simplifying
-2m(5m + r) = 0
(5m * -2m + r * -2m) = 0

Reorder the terms:
(-2mr + -10m2) = 0
(-2mr + -10m2) = 0

Solving
-2mr + -10m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-2m'.
-2m(r + 5m) = 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 '(r + 5m)' equal to zero and attempt to solve:

Simplifying
r + 5m = 0

Reorder the terms:
5m + r = 0

Solving
5m + r = 0

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

Add '-1r' to each side of the equation.
5m + r + -1r = 0 + -1r

Combine like terms: r + -1r = 0
5m + 0 = 0 + -1r
5m = 0 + -1r
Remove the zero:
5m = -1r

Divide each side by '5'.
m = -0.2r

Simplifying
m = -0.2r
Solution
m = {0, -0.2r}

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