4m(2m+5p)=

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Solution for 4m(2m+5p)= equation: 


Simplifying
4m(2m + 5p) = 0
(2m * 4m + 5p * 4m) = 0

Reorder the terms:
(20mp + 8m2) = 0
(20mp + 8m2) = 0

Solving
20mp + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m'.
4m(5p + 2m) = 0

Ignore the factor 4.

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 '(5p + 2m)' equal to zero and attempt to solve:

Simplifying
5p + 2m = 0

Reorder the terms:
2m + 5p = 0

Solving
2m + 5p = 0

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

Add '-5p' to each side of the equation.
2m + 5p + -5p = 0 + -5p

Combine like terms: 5p + -5p = 0
2m + 0 = 0 + -5p
2m = 0 + -5p
Remove the zero:
2m = -5p

Divide each side by '2'.
m = -2.5p

Simplifying
m = -2.5p
Solution
m = {0, -2.5p}

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