-3ab(5a-6b-7)=

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Solution for -3ab(5a-6b-7)= equation: 


Simplifying
-3ab(5a + -6b + -7) = 0

Reorder the terms:
-3ab(-7 + 5a + -6b) = 0
(-7 * -3ab + 5a * -3ab + -6b * -3ab) = 0

Reorder the terms:
(21ab + 18ab2 + -15a2b) = 0
(21ab + 18ab2 + -15a2b) = 0

Solving
21ab + 18ab2 + -15a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(7 + 6b + -5a) = 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 '(7 + 6b + -5a)' equal to zero and attempt to solve:

Simplifying
7 + 6b + -5a = 0

Reorder the terms:
7 + -5a + 6b = 0

Solving
7 + -5a + 6b = 0

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

Add '-7' to each side of the equation.
7 + -5a + -7 + 6b = 0 + -7

Reorder the terms:
7 + -7 + -5a + 6b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5a + 6b = 0 + -7
-5a + 6b = 0 + -7

Combine like terms: 0 + -7 = -7
-5a + 6b = -7

Add '-6b' to each side of the equation.
-5a + 6b + -6b = -7 + -6b

Combine like terms: 6b + -6b = 0
-5a + 0 = -7 + -6b
-5a = -7 + -6b

Divide each side by '-5'.
a = 1.4 + 1.2b

Simplifying
a = 1.4 + 1.2b
Solution
a = {1.4 + 1.2b}

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