-7ab(6a-4b-7)=

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Solution for -7ab(6a-4b-7)= equation: 


Simplifying
-7ab(6a + -4b + -7) = 0

Reorder the terms:
-7ab(-7 + 6a + -4b) = 0
(-7 * -7ab + 6a * -7ab + -4b * -7ab) = 0

Reorder the terms:
(49ab + 28ab2 + -42a2b) = 0
(49ab + 28ab2 + -42a2b) = 0

Solving
49ab + 28ab2 + -42a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7ab'.
7ab(7 + 4b + -6a) = 0

Ignore the factor 7.

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 + 4b + -6a)' equal to zero and attempt to solve:

Simplifying
7 + 4b + -6a = 0

Reorder the terms:
7 + -6a + 4b = 0

Solving
7 + -6a + 4b = 0

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

Add '-7' to each side of the equation.
7 + -6a + -7 + 4b = 0 + -7

Reorder the terms:
7 + -7 + -6a + 4b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6a + 4b = 0 + -7
-6a + 4b = 0 + -7

Combine like terms: 0 + -7 = -7
-6a + 4b = -7

Add '-4b' to each side of the equation.
-6a + 4b + -4b = -7 + -4b

Combine like terms: 4b + -4b = 0
-6a + 0 = -7 + -4b
-6a = -7 + -4b

Divide each side by '-6'.
a = 1.166666667 + 0.6666666667b

Simplifying
a = 1.166666667 + 0.6666666667b
Solution
a = {1.166666667 + 0.6666666667b}

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