(2a-8b)(6a-8b)=

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Solution for (2a-8b)(6a-8b)= equation: 


Simplifying
(2a + -8b)(6a + -8b) = 0

Multiply (2a + -8b) * (6a + -8b)
(2a * (6a + -8b) + -8b * (6a + -8b)) = 0
((6a * 2a + -8b * 2a) + -8b * (6a + -8b)) = 0

Reorder the terms:
((-16ab + 12a2) + -8b * (6a + -8b)) = 0
((-16ab + 12a2) + -8b * (6a + -8b)) = 0
(-16ab + 12a2 + (6a * -8b + -8b * -8b)) = 0
(-16ab + 12a2 + (-48ab + 64b2)) = 0

Reorder the terms:
(-16ab + -48ab + 12a2 + 64b2) = 0

Combine like terms: -16ab + -48ab = -64ab
(-64ab + 12a2 + 64b2) = 0

Solving
-64ab + 12a2 + 64b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-16ab + 3a2 + 16b2) = 0

Factor a trinomial.
4((a + -4b)(3a + -4b)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(a + -4b)' equal to zero and attempt to solve:

Simplifying
a + -4b = 0

Solving
a + -4b = 0

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

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

Combine like terms: -4b + 4b = 0
a + 0 = 0 + 4b
a = 0 + 4b
Remove the zero:
a = 4b

Simplifying
a = 4b

Subproblem 2
Set the factor '(3a + -4b)' equal to zero and attempt to solve:

Simplifying
3a + -4b = 0

Solving
3a + -4b = 0

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

Add '4b' to each side of the equation.
3a + -4b + 4b = 0 + 4b

Combine like terms: -4b + 4b = 0
3a + 0 = 0 + 4b
3a = 0 + 4b
Remove the zero:
3a = 4b

Divide each side by '3'.
a = 1.333333333b

Simplifying
a = 1.333333333b
Solution
a = {4b, 1.333333333b}

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