6b^2+19b+12=-3

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Solution for 6b^2+19b+12=-3 equation:


Simplifying
6b2 + 19b + 12 = -3

Reorder the terms:
12 + 19b + 6b2 = -3

Solving
12 + 19b + 6b2 = -3

Solving for variable 'b'.

Reorder the terms:
12 + 3 + 19b + 6b2 = -3 + 3

Combine like terms: 12 + 3 = 15
15 + 19b + 6b2 = -3 + 3

Combine like terms: -3 + 3 = 0
15 + 19b + 6b2 = 0

Factor a trinomial.
(5 + 3b)(3 + 2b) = 0

Subproblem 1

Set the factor '(5 + 3b)' equal to zero and attempt to solve: Simplifying 5 + 3b = 0 Solving 5 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 0 + -5 3b = 0 + -5 Combine like terms: 0 + -5 = -5 3b = -5 Divide each side by '3'. b = -1.666666667 Simplifying b = -1.666666667

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 = {-1.666666667, -1.5}

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