(6b-8)(b-8)=0

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Solution for (6b-8)(b-8)=0 equation: 


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

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

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

Multiply (-8 + 6b) * (-8 + b)
(-8(-8 + b) + 6b * (-8 + b)) = 0
((-8 * -8 + b * -8) + 6b * (-8 + b)) = 0
((64 + -8b) + 6b * (-8 + b)) = 0
(64 + -8b + (-8 * 6b + b * 6b)) = 0
(64 + -8b + (-48b + 6b2)) = 0

Combine like terms: -8b + -48b = -56b
(64 + -56b + 6b2) = 0

Solving
64 + -56b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -28b + 3b2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 0

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

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

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

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

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

Simplifying
b = 1.333333333

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

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

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

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

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

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

Simplifying
b = 8
Solution
b = {1.333333333, 8}

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