(6b+4)(b-8)=0

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Solution for (6b+4)(b-8)=0 equation: 


Simplifying
(6b + 4)(b + -8) = 0

Reorder the terms:
(4 + 6b)(b + -8) = 0

Reorder the terms:
(4 + 6b)(-8 + b) = 0

Multiply (4 + 6b) * (-8 + b)
(4(-8 + b) + 6b * (-8 + b)) = 0
((-8 * 4 + b * 4) + 6b * (-8 + b)) = 0
((-32 + 4b) + 6b * (-8 + b)) = 0
(-32 + 4b + (-8 * 6b + b * 6b)) = 0
(-32 + 4b + (-48b + 6b2)) = 0

Combine like terms: 4b + -48b = -44b
(-32 + -44b + 6b2) = 0

Solving
-32 + -44b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -22b + 3b2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve:

Simplifying
-2 + -3b = 0

Solving
-2 + -3b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3b = 0 + 2
-3b = 0 + 2

Combine like terms: 0 + 2 = 2
-3b = 2

Divide each side by '-3'.
b = -0.6666666667

Simplifying
b = -0.6666666667

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 = {-0.6666666667, 8}

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