2m^4-23m^2+63=0

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Solution for 2m^4-23m^2+63=0 equation: 


Simplifying
2m4 + -23m2 + 63 = 0

Reorder the terms:
63 + -23m2 + 2m4 = 0

Solving
63 + -23m2 + 2m4 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + -2m2)(7 + -1m2) = 0


Subproblem 1
Set the factor '(9 + -2m2)' equal to zero and attempt to solve:

Simplifying
9 + -2m2 = 0

Solving
9 + -2m2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2m2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2m2 = 0 + -9
-2m2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2m2 = -9

Divide each side by '-2'.
m2 = 4.5

Simplifying
m2 = 4.5

Take the square root of each side:
m = {-2.121320344, 2.121320344}

Subproblem 2
Set the factor '(7 + -1m2)' equal to zero and attempt to solve:

Simplifying
7 + -1m2 = 0

Solving
7 + -1m2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m2 = 0 + -7
-1m2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1m2 = -7

Divide each side by '-1'.
m2 = 7

Simplifying
m2 = 7

Take the square root of each side:
m = {-2.645751311, 2.645751311}
Solution
m = {-2.121320344, 2.121320344, -2.645751311, 2.645751311}

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