10m^2+25m^3=0

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Solution for 10m^2+25m^3=0 equation: 


Simplifying
10m2 + 25m3 = 0

Solving
10m2 + 25m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m2'.
5m2(2 + 5m) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(2 + 5m)' equal to zero and attempt to solve:

Simplifying
2 + 5m = 0

Solving
2 + 5m = 0

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

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

Combine like terms: 2 + -2 = 0
0 + 5m = 0 + -2
5m = 0 + -2

Combine like terms: 0 + -2 = -2
5m = -2

Divide each side by '5'.
m = -0.4

Simplifying
m = -0.4
Solution
m = {0, -0.4}

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