6a^2b^3-14abc=0

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Solution for 6a^2b^3-14abc=0 equation:


Simplifying
6a2b3 + -14abc = 0

Reorder the terms:
-14abc + 6a2b3 = 0

Solving
-14abc + 6a2b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(-7c + 3ab2) = 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 '(-7c + 3ab2)' equal to zero and attempt to solve: Simplifying -7c + 3ab2 = 0 Reorder the terms: 3ab2 + -7c = 0 Solving 3ab2 + -7c = 0 Move all terms containing a to the left, all other terms to the right. Add '7c' to each side of the equation. 3ab2 + -7c + 7c = 0 + 7c Combine like terms: -7c + 7c = 0 3ab2 + 0 = 0 + 7c 3ab2 = 0 + 7c Remove the zero: 3ab2 = 7c Divide each side by '3b2'. a = 2.333333333b-2c Simplifying a = 2.333333333b-2c

Solution

a = {2.333333333b-2c}

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