(2a-16)(16a-2)=0

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Solution for (2a-16)(16a-2)=0 equation: 


Simplifying
(2a + -16)(16a + -2) = 0

Reorder the terms:
(-16 + 2a)(16a + -2) = 0

Reorder the terms:
(-16 + 2a)(-2 + 16a) = 0

Multiply (-16 + 2a) * (-2 + 16a)
(-16(-2 + 16a) + 2a * (-2 + 16a)) = 0
((-2 * -16 + 16a * -16) + 2a * (-2 + 16a)) = 0
((32 + -256a) + 2a * (-2 + 16a)) = 0
(32 + -256a + (-2 * 2a + 16a * 2a)) = 0
(32 + -256a + (-4a + 32a2)) = 0

Combine like terms: -256a + -4a = -260a
(32 + -260a + 32a2) = 0

Solving
32 + -260a + 32a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -65a + 8a2) = 0

Factor a trinomial.
4((1 + -8a)(8 + -1a)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -8a)' equal to zero and attempt to solve:

Simplifying
1 + -8a = 0

Solving
1 + -8a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8a = 0 + -1
-8a = 0 + -1

Combine like terms: 0 + -1 = -1
-8a = -1

Divide each side by '-8'.
a = 0.125

Simplifying
a = 0.125

Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {0.125, 8}

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