35m^4-375m^3+250m^2=

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Solution for 35m^4-375m^3+250m^2= equation: 


Simplifying
35m4 + -375m3 + 250m2 = 0

Reorder the terms:
250m2 + -375m3 + 35m4 = 0

Solving
250m2 + -375m3 + 35m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m2'.
5m2(50 + -75m + 7m2) = 0

Factor a trinomial.
5m2((5 + -7m)(10 + -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 + -7m)' equal to zero and attempt to solve:

Simplifying
5 + -7m = 0

Solving
5 + -7m = 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 + -7m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7m = 0 + -5
-7m = 0 + -5

Combine like terms: 0 + -5 = -5
-7m = -5

Divide each side by '-7'.
m = 0.7142857143

Simplifying
m = 0.7142857143

Subproblem 3
Set the factor '(10 + -1m)' equal to zero and attempt to solve:

Simplifying
10 + -1m = 0

Solving
10 + -1m = 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 + -1m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 0 + -10
-1m = 0 + -10

Combine like terms: 0 + -10 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10
Solution
m = {0, 0.7142857143, 10}

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