3b^2+14b+24=8

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Solution for 3b^2+14b+24=8 equation:


Simplifying
3b2 + 14b + 24 = 8

Reorder the terms:
24 + 14b + 3b2 = 8

Solving
24 + 14b + 3b2 = 8

Solving for variable 'b'.

Reorder the terms:
24 + -8 + 14b + 3b2 = 8 + -8

Combine like terms: 24 + -8 = 16
16 + 14b + 3b2 = 8 + -8

Combine like terms: 8 + -8 = 0
16 + 14b + 3b2 = 0

Factor a trinomial.
(8 + 3b)(2 + b) = 0

Subproblem 1

Set the factor '(8 + 3b)' equal to zero and attempt to solve: Simplifying 8 + 3b = 0 Solving 8 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 0 + -8 3b = 0 + -8 Combine like terms: 0 + -8 = -8 3b = -8 Divide each side by '3'. b = -2.666666667 Simplifying b = -2.666666667

Subproblem 2

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

Solution

b = {-2.666666667, -2}

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