m^6+18m^4+81m^2=0

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Solution for m^6+18m^4+81m^2=0 equation:


Simplifying
m6 + 18m4 + 81m2 = 0

Reorder the terms:
81m2 + 18m4 + m6 = 0

Solving
81m2 + 18m4 + m6 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(81 + 18m2 + m4) = 0

Factor a trinomial.
m2((9 + m2)(9 + m2)) = 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 '(9 + m2)' equal to zero and attempt to solve: Simplifying 9 + m2 = 0 Solving 9 + m2 = 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 + m2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m2 = 0 + -9 m2 = 0 + -9 Combine like terms: 0 + -9 = -9 m2 = -9 Simplifying m2 = -9 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 '(9 + m2)' equal to zero and attempt to solve: Simplifying 9 + m2 = 0 Solving 9 + m2 = 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 + m2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m2 = 0 + -9 m2 = 0 + -9 Combine like terms: 0 + -9 = -9 m2 = -9 Simplifying m2 = -9 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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