4ab^3+8a^2b=

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Solution for 4ab^3+8a^2b= equation:


Simplifying
4ab3 + 8a2b = 0

Solving
4ab3 + 8a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab'.
4ab(b2 + 2a) = 0

Ignore the factor 4.

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 '(b2 + 2a)' equal to zero and attempt to solve: Simplifying b2 + 2a = 0 Reorder the terms: 2a + b2 = 0 Solving 2a + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. 2a + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 2a + 0 = 0 + -1b2 2a = 0 + -1b2 Remove the zero: 2a = -1b2 Divide each side by '2'. a = -0.5b2 Simplifying a = -0.5b2

Solution

a = {-0.5b2}

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