46m^4=2m^2n

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Solution for 46m^4=2m^2n equation:


Simplifying
46m4 = 2m2n

Solving
46m4 = 2m2n

Solving for variable 'm'.

Reorder the terms:
-2m2n + 46m4 = 2m2n + -2m2n

Combine like terms: 2m2n + -2m2n = 0
-2m2n + 46m4 = 0

Factor out the Greatest Common Factor (GCF), '2m2'.
2m2(-1n + 23m2) = 0

Ignore the factor 2.

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 '(-1n + 23m2)' equal to zero and attempt to solve: Simplifying -1n + 23m2 = 0 Reorder the terms: 23m2 + -1n = 0 Solving 23m2 + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 23m2 + -1n + n = 0 + n Combine like terms: -1n + n = 0 23m2 + 0 = 0 + n 23m2 = 0 + n Remove the zero: 23m2 = n Divide each side by '23'. m2 = 0.04347826087n Simplifying m2 = 0.04347826087n 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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