(3a-2b+4)3ab=

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Solution for (3a-2b+4)3ab= equation:


Simplifying
(3a + -2b + 4) * 3ab = 0

Reorder the terms:
(4 + 3a + -2b) * 3ab = 0

Reorder the terms for easier multiplication:
3ab(4 + 3a + -2b) = 0
(4 * 3ab + 3a * 3ab + -2b * 3ab) = 0

Reorder the terms:
(12ab + -6ab2 + 9a2b) = 0
(12ab + -6ab2 + 9a2b) = 0

Solving
12ab + -6ab2 + 9a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(4 + -2b + 3a) = 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 '(4 + -2b + 3a)' equal to zero and attempt to solve: Simplifying 4 + -2b + 3a = 0 Reorder the terms: 4 + 3a + -2b = 0 Solving 4 + 3a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3a + -4 + -2b = 0 + -4 Reorder the terms: 4 + -4 + 3a + -2b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a + -2b = 0 + -4 3a + -2b = 0 + -4 Combine like terms: 0 + -4 = -4 3a + -2b = -4 Add '2b' to each side of the equation. 3a + -2b + 2b = -4 + 2b Combine like terms: -2b + 2b = 0 3a + 0 = -4 + 2b 3a = -4 + 2b Divide each side by '3'. a = -1.333333333 + 0.6666666667b Simplifying a = -1.333333333 + 0.6666666667b

Solution

a = {-1.333333333 + 0.6666666667b}

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