5m^2=176-m^4

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Solution for 5m^2=176-m^4 equation: 


Simplifying
5m2 = 176 + -1m4

Solving
5m2 = 176 + -1m4

Solving for variable 'm'.

Reorder the terms:
-176 + 5m2 + m4 = 176 + -1m4 + -176 + m4

Reorder the terms:
-176 + 5m2 + m4 = 176 + -176 + -1m4 + m4

Combine like terms: 176 + -176 = 0
-176 + 5m2 + m4 = 0 + -1m4 + m4
-176 + 5m2 + m4 = -1m4 + m4

Combine like terms: -1m4 + m4 = 0
-176 + 5m2 + m4 = 0

Factor a trinomial.
(-16 + -1m2)(11 + -1m2) = 0


Subproblem 1
Set the factor '(-16 + -1m2)' equal to zero and attempt to solve:

Simplifying
-16 + -1m2 = 0

Solving
-16 + -1m2 = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1m2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1m2 = 0 + 16
-1m2 = 0 + 16

Combine like terms: 0 + 16 = 16
-1m2 = 16

Divide each side by '-1'.
m2 = -16

Simplifying
m2 = -16

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(11 + -1m2)' equal to zero and attempt to solve:

Simplifying
11 + -1m2 = 0

Solving
11 + -1m2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m2 = 0 + -11
-1m2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1m2 = -11

Divide each side by '-1'.
m2 = 11

Simplifying
m2 = 11

Take the square root of each side:
m = {-3.31662479, 3.31662479}
Solution
m = {-3.31662479, 3.31662479}

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