m^3+20m^2+100m=

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Solution for m^3+20m^2+100m= equation:


Simplifying
m3 + 20m2 + 100m = 0

Reorder the terms:
100m + 20m2 + m3 = 0

Solving
100m + 20m2 + m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(100 + 20m + m2) = 0

Factor a trinomial.
m((10 + m)(10 + m)) = 0

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 '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10

Subproblem 3

Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10

Solution

m = {0, -10, -10}

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