-4=b^2-4b

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Solution for -4=b^2-4b equation:


Simplifying
-4 = b2 + -4b

Reorder the terms:
-4 = -4b + b2

Solving
-4 = -4b + b2

Solving for variable 'b'.

Reorder the terms:
-4 + 4b + -1b2 = -4b + 4b + b2 + -1b2

Combine like terms: -4b + 4b = 0
-4 + 4b + -1b2 = 0 + b2 + -1b2
-4 + 4b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-4 + 4b + -1b2 = 0

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

Subproblem 1

Set the factor '(-2 + b)' equal to zero and attempt to solve: Simplifying -2 + b = 0 Solving -2 + b = 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 + b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + b = 0 + 2 b = 0 + 2 Combine like terms: 0 + 2 = 2 b = 2 Simplifying b = 2

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 = {2, 2}

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