2b^2+11b+12=0

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Solution for 2b^2+11b+12=0 equation:


Simplifying
2b2 + 11b + 12 = 0

Reorder the terms:
12 + 11b + 2b2 = 0

Solving
12 + 11b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + b)(3 + 2b) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5

Solution

b = {-4, -1.5}

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