(49m^3-98m^2)(-25m+50)=0

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Solution for (49m^3-98m^2)(-25m+50)=0 equation: 


Simplifying
(49m3 + -98m2)(-25m + 50) = 0

Reorder the terms:
(-98m2 + 49m3)(-25m + 50) = 0

Reorder the terms:
(-98m2 + 49m3)(50 + -25m) = 0

Multiply (-98m2 + 49m3) * (50 + -25m)
(-98m2 * (50 + -25m) + 49m3 * (50 + -25m)) = 0
((50 * -98m2 + -25m * -98m2) + 49m3 * (50 + -25m)) = 0
((-4900m2 + 2450m3) + 49m3 * (50 + -25m)) = 0
(-4900m2 + 2450m3 + (50 * 49m3 + -25m * 49m3)) = 0
(-4900m2 + 2450m3 + (2450m3 + -1225m4)) = 0

Combine like terms: 2450m3 + 2450m3 = 4900m3
(-4900m2 + 4900m3 + -1225m4) = 0

Solving
-4900m2 + 4900m3 + -1225m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '1225m2'.
1225m2(-4 + 4m + -1m2) = 0

Factor a trinomial.
1225m2((-2 + m)(2 + -1m)) = 0

Ignore the factor 1225.

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 + m)' equal to zero and attempt to solve:

Simplifying
-2 + m = 0

Solving
-2 + m = 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 + m = 0 + 2

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

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

Simplifying
m = 2

Subproblem 3
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 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 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {0, 2, 2}

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