(a-2b)(6a-b)=

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


Simplifying
(a + -2b)(6a + -1b) = 0

Multiply (a + -2b) * (6a + -1b)
(a(6a + -1b) + -2b * (6a + -1b)) = 0
((6a * a + -1b * a) + -2b * (6a + -1b)) = 0

Reorder the terms:
((-1ab + 6a2) + -2b * (6a + -1b)) = 0
((-1ab + 6a2) + -2b * (6a + -1b)) = 0
(-1ab + 6a2 + (6a * -2b + -1b * -2b)) = 0
(-1ab + 6a2 + (-12ab + 2b2)) = 0

Reorder the terms:
(-1ab + -12ab + 6a2 + 2b2) = 0

Combine like terms: -1ab + -12ab = -13ab
(-13ab + 6a2 + 2b2) = 0

Solving
-13ab + 6a2 + 2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -2b)(6a + -1b) = 0


Subproblem 1
Set the factor '(a + -2b)' equal to zero and attempt to solve:

Simplifying
a + -2b = 0

Solving
a + -2b = 0

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

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

Combine like terms: -2b + 2b = 0
a + 0 = 0 + 2b
a = 0 + 2b
Remove the zero:
a = 2b

Simplifying
a = 2b

Subproblem 2
Set the factor '(6a + -1b)' equal to zero and attempt to solve:

Simplifying
6a + -1b = 0

Solving
6a + -1b = 0

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

Add 'b' to each side of the equation.
6a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
6a + 0 = 0 + b
6a = 0 + b
Remove the zero:
6a = b

Divide each side by '6'.
a = 0.1666666667b

Simplifying
a = 0.1666666667b
Solution
a = {2b, 0.1666666667b}

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