(2m+3m)(5m+2n)=

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Solution for (2m+3m)(5m+2n)= equation:


Simplifying
(2m + 3m)(5m + 2n) = 0

Combine like terms: 2m + 3m = 5m
(5m)(5m + 2n) = 0

Remove parenthesis around (5m)
5m(5m + 2n) = 0
(5m * 5m + 2n * 5m) = 0

Reorder the terms:
(10mn + 25m2) = 0
(10mn + 25m2) = 0

Solving
10mn + 25m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m'.
5m(2n + 5m) = 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 '(2n + 5m)' equal to zero and attempt to solve: Simplifying 2n + 5m = 0 Reorder the terms: 5m + 2n = 0 Solving 5m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 5m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 5m + 0 = 0 + -2n 5m = 0 + -2n Remove the zero: 5m = -2n Divide each side by '5'. m = -0.4n Simplifying m = -0.4n

Solution

m = {0, -0.4n}

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