4(b-2)(b+8)=

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Solution for 4(b-2)(b+8)= equation: 


Simplifying
4(b + -2)(b + 8) = 0

Reorder the terms:
4(-2 + b)(b + 8) = 0

Reorder the terms:
4(-2 + b)(8 + b) = 0

Multiply (-2 + b) * (8 + b)
4(-2(8 + b) + b(8 + b)) = 0
4((8 * -2 + b * -2) + b(8 + b)) = 0
4((-16 + -2b) + b(8 + b)) = 0
4(-16 + -2b + (8 * b + b * b)) = 0
4(-16 + -2b + (8b + b2)) = 0

Combine like terms: -2b + 8b = 6b
4(-16 + 6b + b2) = 0
(-16 * 4 + 6b * 4 + b2 * 4) = 0
(-64 + 24b + 4b2) = 0

Solving
-64 + 24b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + 6b + b2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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

Simplifying
2 + -1b = 0

Solving
2 + -1b = 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 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Solution
b = {-8, 2}

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