3ab(2a+3b+10)=

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Solution for 3ab(2a+3b+10)= equation: 


Simplifying
3ab(2a + 3b + 10) = 0

Reorder the terms:
3ab(10 + 2a + 3b) = 0
(10 * 3ab + 2a * 3ab + 3b * 3ab) = 0

Reorder the terms:
(30ab + 9ab2 + 6a2b) = 0
(30ab + 9ab2 + 6a2b) = 0

Solving
30ab + 9ab2 + 6a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(10 + 3b + 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 '(10 + 3b + 2a)' equal to zero and attempt to solve:

Simplifying
10 + 3b + 2a = 0

Reorder the terms:
10 + 2a + 3b = 0

Solving
10 + 2a + 3b = 0

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

Add '-10' to each side of the equation.
10 + 2a + -10 + 3b = 0 + -10

Reorder the terms:
10 + -10 + 2a + 3b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2a + 3b = 0 + -10
2a + 3b = 0 + -10

Combine like terms: 0 + -10 = -10
2a + 3b = -10

Add '-3b' to each side of the equation.
2a + 3b + -3b = -10 + -3b

Combine like terms: 3b + -3b = 0
2a + 0 = -10 + -3b
2a = -10 + -3b

Divide each side by '2'.
a = -5 + -1.5b

Simplifying
a = -5 + -1.5b
Solution
a = {-5 + -1.5b}

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