5m^4-15m^3-200m^2=0

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Solution for 5m^4-15m^3-200m^2=0 equation: 


Simplifying
5m4 + -15m3 + -200m2 = 0

Reorder the terms:
-200m2 + -15m3 + 5m4 = 0

Solving
-200m2 + -15m3 + 5m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m2'.
5m2(-40 + -3m + m2) = 0

Factor a trinomial.
5m2((-5 + -1m)(8 + -1m)) = 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 '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

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

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5

Subproblem 3
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {0, -5, 8}

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