6a*ab+3ab*b*b*b=

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Solution for 6a*ab+3ab*b*b*b= equation:


Simplifying
6a * ab + 3ab * b * b * b = 0

Multiply a * ab
6a2b + 3ab * b * b * b = 0

Multiply ab * b
6a2b + 3ab2 * b * b = 0

Multiply ab2 * b
6a2b + 3ab3 * b = 0

Multiply ab3 * b
6a2b + 3ab4 = 0

Reorder the terms:
3ab4 + 6a2b = 0

Solving
3ab4 + 6a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(b3 + 2a) = 0

Ignore the factor 3.

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 '(b3 + 2a)' equal to zero and attempt to solve: Simplifying b3 + 2a = 0 Reorder the terms: 2a + b3 = 0 Solving 2a + b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b3' to each side of the equation. 2a + b3 + -1b3 = 0 + -1b3 Combine like terms: b3 + -1b3 = 0 2a + 0 = 0 + -1b3 2a = 0 + -1b3 Remove the zero: 2a = -1b3 Divide each side by '2'. a = -0.5b3 Simplifying a = -0.5b3

Solution

a = {-0.5b3}

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