3a^4b^2m-75a^3bm^4=0

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Solution for 3a^4b^2m-75a^3bm^4=0 equation:


Simplifying
3a4b2m + -75a3bm4 = 0

Reorder the terms:
-75a3bm4 + 3a4b2m = 0

Solving
-75a3bm4 + 3a4b2m = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a3bm'.
3a3bm(-25m3 + ab) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a3bm' equal to zero and attempt to solve: Simplifying a3bm = 0 Solving a3bm = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3bm = 0 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 '(-25m3 + ab)' equal to zero and attempt to solve: Simplifying -25m3 + ab = 0 Reorder the terms: ab + -25m3 = 0 Solving ab + -25m3 = 0 Move all terms containing a to the left, all other terms to the right. Add '25m3' to each side of the equation. ab + -25m3 + 25m3 = 0 + 25m3 Combine like terms: -25m3 + 25m3 = 0 ab + 0 = 0 + 25m3 ab = 0 + 25m3 Remove the zero: ab = 25m3 Divide each side by 'b'. a = 25b-1m3 Simplifying a = 25b-1m3

Solution

a = {25b-1m3}

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