2b(b-7)(b+8)=

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Solution for 2b(b-7)(b+8)= equation: 


Simplifying
2b(b + -7)(b + 8) = 0

Reorder the terms:
2b(-7 + b)(b + 8) = 0

Reorder the terms:
2b(-7 + b)(8 + b) = 0

Multiply (-7 + b) * (8 + b)
2b(-7(8 + b) + b(8 + b)) = 0
2b((8 * -7 + b * -7) + b(8 + b)) = 0
2b((-56 + -7b) + b(8 + b)) = 0
2b(-56 + -7b + (8 * b + b * b)) = 0
2b(-56 + -7b + (8b + b2)) = 0

Combine like terms: -7b + 8b = 1b
2b(-56 + 1b + b2) = 0
(-56 * 2b + 1b * 2b + b2 * 2b) = 0
(-112b + 2b2 + 2b3) = 0

Solving
-112b + 2b2 + 2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-56 + b + b2) = 0

Factor a trinomial.
2b((-8 + -1b)(7 + -1b)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

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

Subproblem 3
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {0, -8, 7}

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