(6a-8)(8a-1)=

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Solution for (6a-8)(8a-1)= equation: 


Simplifying
(6a + -8)(8a + -1) = 0

Reorder the terms:
(-8 + 6a)(8a + -1) = 0

Reorder the terms:
(-8 + 6a)(-1 + 8a) = 0

Multiply (-8 + 6a) * (-1 + 8a)
(-8(-1 + 8a) + 6a * (-1 + 8a)) = 0
((-1 * -8 + 8a * -8) + 6a * (-1 + 8a)) = 0
((8 + -64a) + 6a * (-1 + 8a)) = 0
(8 + -64a + (-1 * 6a + 8a * 6a)) = 0
(8 + -64a + (-6a + 48a2)) = 0

Combine like terms: -64a + -6a = -70a
(8 + -70a + 48a2) = 0

Solving
8 + -70a + 48a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -35a + 24a2) = 0

Factor a trinomial.
2((1 + -8a)(4 + -3a)) = 0

Ignore the factor 2.

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 '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

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

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

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

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

Simplifying
a = 1.333333333
Solution
a = {0.125, 1.333333333}

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