4m^4-44m^2+40=0

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Solution for 4m^4-44m^2+40=0 equation: 


Simplifying
4m4 + -44m2 + 40 = 0

Reorder the terms:
40 + -44m2 + 4m4 = 0

Solving
40 + -44m2 + 4m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + -11m2 + m4) = 0

Factor a trinomial.
4((1 + -1m2)(10 + -1m2)) = 0

Factor a difference between two squares.
4(((1 + m)(1 + -1m))(10 + -1m2)) = 0

Ignore the factor 4.

Subproblem 1
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}

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

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1
Solution
m = {-3.16227766, 3.16227766, -1, 1}

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