b^2+27b+180=0

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Solution for b^2+27b+180=0 equation:


Simplifying
b2 + 27b + 180 = 0

Reorder the terms:
180 + 27b + b2 = 0

Solving
180 + 27b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(15 + b)(12 + b) = 0

Subproblem 1

Set the factor '(15 + b)' equal to zero and attempt to solve: Simplifying 15 + b = 0 Solving 15 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + b = 0 + -15 b = 0 + -15 Combine like terms: 0 + -15 = -15 b = -15 Simplifying b = -15

Subproblem 2

Set the factor '(12 + b)' equal to zero and attempt to solve: Simplifying 12 + b = 0 Solving 12 + b = 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 + b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + b = 0 + -12 b = 0 + -12 Combine like terms: 0 + -12 = -12 b = -12 Simplifying b = -12

Solution

b = {-15, -12}

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