(9m^8-7m^4+2m^2+5)+(9m^6+2m^4-5)=

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Solution for (9m^8-7m^4+2m^2+5)+(9m^6+2m^4-5)= equation:


Simplifying
(9m8 + -7m4 + 2m2 + 5) + (9m6 + 2m4 + -5) = 0

Reorder the terms:
(5 + 2m2 + -7m4 + 9m8) + (9m6 + 2m4 + -5) = 0

Remove parenthesis around (5 + 2m2 + -7m4 + 9m8)
5 + 2m2 + -7m4 + 9m8 + (9m6 + 2m4 + -5) = 0

Reorder the terms:
5 + 2m2 + -7m4 + 9m8 + (-5 + 2m4 + 9m6) = 0

Remove parenthesis around (-5 + 2m4 + 9m6)
5 + 2m2 + -7m4 + 9m8 + -5 + 2m4 + 9m6 = 0

Reorder the terms:
5 + -5 + 2m2 + -7m4 + 2m4 + 9m6 + 9m8 = 0

Combine like terms: 5 + -5 = 0
0 + 2m2 + -7m4 + 2m4 + 9m6 + 9m8 = 0
2m2 + -7m4 + 2m4 + 9m6 + 9m8 = 0

Combine like terms: -7m4 + 2m4 = -5m4
2m2 + -5m4 + 9m6 + 9m8 = 0

Solving
2m2 + -5m4 + 9m6 + 9m8 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(2 + -5m2 + 9m4 + 9m6) = 0

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 + -5m2 + 9m4 + 9m6)' equal to zero and attempt to solve: Simplifying 2 + -5m2 + 9m4 + 9m6 = 0 Solving 2 + -5m2 + 9m4 + 9m6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

m = {0}

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