2m(7m^4-65m^2-50)=0

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Solution for 2m(7m^4-65m^2-50)=0 equation: 


Simplifying
2m(7m4 + -65m2 + -50) = 0

Reorder the terms:
2m(-50 + -65m2 + 7m4) = 0
(-50 * 2m + -65m2 * 2m + 7m4 * 2m) = 0
(-100m + -130m3 + 14m5) = 0

Solving
-100m + -130m3 + 14m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-50 + -65m2 + 7m4) = 0

Factor a trinomial.
2m((-5 + -7m2)(10 + -1m2)) = 0

Ignore the factor 2.

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 '(-5 + -7m2)' equal to zero and attempt to solve:

Simplifying
-5 + -7m2 = 0

Solving
-5 + -7m2 = 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 + -7m2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7m2 = 0 + 5
-7m2 = 0 + 5

Combine like terms: 0 + 5 = 5
-7m2 = 5

Divide each side by '-7'.
m2 = -0.7142857143

Simplifying
m2 = -0.7142857143

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(10 + -1m2)' equal to zero and attempt to solve:

Simplifying
10 + -1m2 = 0

Solving
10 + -1m2 = 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 + -1m2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m2 = 0 + -10
-1m2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1m2 = -10

Divide each side by '-1'.
m2 = 10

Simplifying
m2 = 10

Take the square root of each side:
m = {-3.16227766, 3.16227766}
Solution
m = {0, -3.16227766, 3.16227766}

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