32=b(b-4)

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Solution for 32=b(b-4) equation:


Simplifying
32 = b(b + -4)

Reorder the terms:
32 = b(-4 + b)
32 = (-4 * b + b * b)
32 = (-4b + b2)

Solving
32 = -4b + b2

Solving for variable 'b'.

Reorder the terms:
32 + 4b + -1b2 = -4b + 4b + b2 + -1b2

Combine like terms: -4b + 4b = 0
32 + 4b + -1b2 = 0 + b2 + -1b2
32 + 4b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
32 + 4b + -1b2 = 0

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

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 '(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

Solution

b = {8, -4}

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