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

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


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

Reorder the terms:
-2b(-4 + b) = -2b + 8
(-4 * -2b + b * -2b) = -2b + 8
(8b + -2b2) = -2b + 8

Reorder the terms:
8b + -2b2 = 8 + -2b

Solving
8b + -2b2 = 8 + -2b

Solving for variable 'b'.

Reorder the terms:
-8 + 8b + 2b + -2b2 = 8 + -2b + -8 + 2b

Combine like terms: 8b + 2b = 10b
-8 + 10b + -2b2 = 8 + -2b + -8 + 2b

Reorder the terms:
-8 + 10b + -2b2 = 8 + -8 + -2b + 2b

Combine like terms: 8 + -8 = 0
-8 + 10b + -2b2 = 0 + -2b + 2b
-8 + 10b + -2b2 = -2b + 2b

Combine like terms: -2b + 2b = 0
-8 + 10b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 5b + -1b2) = 0

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

Ignore the factor 2.

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

Simplifying
-4 + b = 0

Solving
-4 + b = 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 + b = 0 + 4

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

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

Simplifying
b = 4

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

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

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

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

Simplifying
b = 1
Solution
b = {4, 1}

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