10a^3+20a^4b=0

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Solution for 10a^3+20a^4b=0 equation:


Simplifying
10a3 + 20a4b = 0

Solving
10a3 + 20a4b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '10a3'.
10a3(1 + 2ab) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 '(1 + 2ab)' equal to zero and attempt to solve: Simplifying 1 + 2ab = 0 Solving 1 + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ab = 0 + -1 2ab = 0 + -1 Combine like terms: 0 + -1 = -1 2ab = -1 Divide each side by '2b'. a = -0.5b-1 Simplifying a = -0.5b-1

Solution

a = {-0.5b-1}

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