(a-4b+5)3ab=0

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Solution for (a-4b+5)3ab=0 equation: 


Simplifying
(a + -4b + 5) * 3ab = 0

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

Reorder the terms for easier multiplication:
3ab(5 + a + -4b) = 0
(5 * 3ab + a * 3ab + -4b * 3ab) = 0

Reorder the terms:
(15ab + -12ab2 + 3a2b) = 0
(15ab + -12ab2 + 3a2b) = 0

Solving
15ab + -12ab2 + 3a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(5 + -4b + a) = 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 '(5 + -4b + a)' equal to zero and attempt to solve:

Simplifying
5 + -4b + a = 0

Reorder the terms:
5 + a + -4b = 0

Solving
5 + a + -4b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + a + -5 + -4b = 0 + -5

Reorder the terms:
5 + -5 + a + -4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a + -4b = 0 + -5
a + -4b = 0 + -5

Combine like terms: 0 + -5 = -5
a + -4b = -5

Add '4b' to each side of the equation.
a + -4b + 4b = -5 + 4b

Combine like terms: -4b + 4b = 0
a + 0 = -5 + 4b
a = -5 + 4b

Simplifying
a = -5 + 4b
Solution
a = {-5 + 4b}

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