24a^2b^3c^2=40a^3b^4c^2

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Solution for 24a^2b^3c^2=40a^3b^4c^2 equation:


Simplifying
24a2b3c2 = 40a3b4c2

Solving
24a2b3c2 = 40a3b4c2

Solving for variable 'a'.

Combine like terms: 40a3b4c2 + -40a3b4c2 = 0
24a2b3c2 + -40a3b4c2 = 0

Factor out the Greatest Common Factor (GCF), '8a2b3c2'.
8a2b3c2(3 + -5ab) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'a2b3c2' equal to zero and attempt to solve: Simplifying a2b3c2 = 0 Solving a2b3c2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b3c2 = 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 '(3 + -5ab)' equal to zero and attempt to solve: Simplifying 3 + -5ab = 0 Solving 3 + -5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5ab = 0 + -3 -5ab = 0 + -3 Combine like terms: 0 + -3 = -3 -5ab = -3 Divide each side by '-5b'. a = 0.6b-1 Simplifying a = 0.6b-1

Solution

a = {0.6b-1}

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