4a^2b+2ab=0

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Solution for 4a^2b+2ab=0 equation:


Simplifying
4a2b + 2ab = 0

Reorder the terms:
2ab + 4a2b = 0

Solving
2ab + 4a2b = 0

Solving for variable 'a'.

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

Ignore the factor 2.

Subproblem 1

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

Solution

a = {-0.5}

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