b^2+8b=48

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Solution for b^2+8b=48 equation:


Simplifying
b2 + 8b = 48

Reorder the terms:
8b + b2 = 48

Solving
8b + b2 = 48

Solving for variable 'b'.

Reorder the terms:
-48 + 8b + b2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 8b + b2 = 0

Factor a trinomial.
(-12 + -1b)(4 + -1b) = 0

Subproblem 1

Set the factor '(-12 + -1b)' equal to zero and attempt to solve: Simplifying -12 + -1b = 0 Solving -12 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1b = 0 + 12 -1b = 0 + 12 Combine like terms: 0 + 12 = 12 -1b = 12 Divide each side by '-1'. b = -12 Simplifying b = -12

Subproblem 2

Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4

Solution

b = {-12, 4}

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