-2b(b-4)=-2b

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


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

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

Solving
8b + -2b2 = -2b

Solving for variable 'b'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2b'.
2b(5 + -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 '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5

Solution

b = {0, 5}

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