(b+9)*(b+4)=

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Solution for (b+9)*(b+4)= equation:


Simplifying
(b + 9)(b + 4) = 0

Reorder the terms:
(9 + b)(b + 4) = 0

Reorder the terms:
(9 + b)(4 + b) = 0

Multiply (9 + b) * (4 + b)
(9(4 + b) + b(4 + b)) = 0
((4 * 9 + b * 9) + b(4 + b)) = 0
((36 + 9b) + b(4 + b)) = 0
(36 + 9b + (4 * b + b * b)) = 0
(36 + 9b + (4b + b2)) = 0

Combine like terms: 9b + 4b = 13b
(36 + 13b + b2) = 0

Solving
36 + 13b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + b)(4 + b) = 0

Subproblem 1

Set the factor '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9

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 = {-9, -4}

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