3m^4-18m^2-21=0

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Solution for 3m^4-18m^2-21=0 equation:


Simplifying
3m4 + -18m2 + -21 = 0

Reorder the terms:
-21 + -18m2 + 3m4 = 0

Solving
-21 + -18m2 + 3m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + -6m2 + m4) = 0

Factor a trinomial.
3((-1 + -1m2)(7 + -1m2)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -1m2)' equal to zero and attempt to solve: Simplifying -1 + -1m2 = 0 Solving -1 + -1m2 = 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 + -1m2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m2 = 0 + 1 -1m2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1m2 = 1 Divide each side by '-1'. m2 = -1 Simplifying m2 = -1 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 '(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 = {-2.645751311, 2.645751311}

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