(-2ab-2a-5)-(6ab+2)=0

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Solution for (-2ab-2a-5)-(6ab+2)=0 equation:


Simplifying
(-2ab + -2a + -5) + -1(6ab + 2) = 0

Reorder the terms:
(-5 + -2a + -2ab) + -1(6ab + 2) = 0

Remove parenthesis around (-5 + -2a + -2ab)
-5 + -2a + -2ab + -1(6ab + 2) = 0

Reorder the terms:
-5 + -2a + -2ab + -1(2 + 6ab) = 0
-5 + -2a + -2ab + (2 * -1 + 6ab * -1) = 0
-5 + -2a + -2ab + (-2 + -6ab) = 0

Reorder the terms:
-5 + -2 + -2a + -2ab + -6ab = 0

Combine like terms: -5 + -2 = -7
-7 + -2a + -2ab + -6ab = 0

Combine like terms: -2ab + -6ab = -8ab
-7 + -2a + -8ab = 0

Solving
-7 + -2a + -8ab = 0

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + -2a + 7 + -8ab = 0 + 7

Reorder the terms:
-7 + 7 + -2a + -8ab = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2a + -8ab = 0 + 7
-2a + -8ab = 0 + 7

Combine like terms: 0 + 7 = 7
-2a + -8ab = 7

Reorder the terms:
-7 + -2a + -8ab = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -2a + -8ab = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 2a + 8ab) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + 2a + 8ab)' equal to zero and attempt to solve: Simplifying 7 + 2a + 8ab = 0 Solving 7 + 2a + 8ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2a + -7 + 8ab = 0 + -7 Reorder the terms: 7 + -7 + 2a + 8ab = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a + 8ab = 0 + -7 2a + 8ab = 0 + -7 Combine like terms: 0 + -7 = -7 2a + 8ab = -7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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