(-a-6b+4)2ab=equation

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Solution for (-a-6b+4)2ab=equation equation: 


Simplifying
(-1a + -6b + 4) * 2ab = equation

Reorder the terms:
(4 + -1a + -6b) * 2ab = equation

Reorder the terms for easier multiplication:
2ab(4 + -1a + -6b) = equation
(4 * 2ab + -1a * 2ab + -6b * 2ab) = equation

Reorder the terms:
(8ab + -12ab2 + -2a2b) = equation
(8ab + -12ab2 + -2a2b) = equation

Solving
8ab + -12ab2 + -2a2b = aeinoqtu

Solving for variable 'a'.

Reorder the terms:
8ab + -12ab2 + -1aeinoqtu + -2a2b = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
8ab + -12ab2 + -1aeinoqtu + -2a2b = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(8b + -12b2 + -1einoqtu + -2ab) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(8b + -12b2 + -1einoqtu + -2ab)' equal to zero and attempt to solve:

Simplifying
8b + -12b2 + -1einoqtu + -2ab = 0

Reorder the terms:
-2ab + 8b + -12b2 + -1einoqtu = 0

Solving
-2ab + 8b + -12b2 + -1einoqtu = 0

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

Add '-8b' to each side of the equation.
-2ab + 8b + -12b2 + -8b + -1einoqtu = 0 + -8b

Reorder the terms:
-2ab + 8b + -8b + -12b2 + -1einoqtu = 0 + -8b

Combine like terms: 8b + -8b = 0
-2ab + 0 + -12b2 + -1einoqtu = 0 + -8b
-2ab + -12b2 + -1einoqtu = 0 + -8b
Remove the zero:
-2ab + -12b2 + -1einoqtu = -8b

Add '12b2' to each side of the equation.
-2ab + -12b2 + 12b2 + -1einoqtu = -8b + 12b2

Combine like terms: -12b2 + 12b2 = 0
-2ab + 0 + -1einoqtu = -8b + 12b2
-2ab + -1einoqtu = -8b + 12b2

Add 'einoqtu' to each side of the equation.
-2ab + -1einoqtu + einoqtu = -8b + 12b2 + einoqtu

Combine like terms: -1einoqtu + einoqtu = 0
-2ab + 0 = -8b + 12b2 + einoqtu
-2ab = -8b + 12b2 + einoqtu

Divide each side by '-2b'.
a = 4 + -6b + -0.5b-1einoqtu

Simplifying
a = 4 + -6b + -0.5b-1einoqtu

Reorder the terms:
a = 4 + -0.5b-1einoqtu + -6b
Solution
a = {0, 4 + -0.5b-1einoqtu + -6b}

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