6b^2+17b+10=5

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Solution for 6b^2+17b+10=5 equation:


Simplifying
6b2 + 17b + 10 = 5

Reorder the terms:
10 + 17b + 6b2 = 5

Solving
10 + 17b + 6b2 = 5

Solving for variable 'b'.

Reorder the terms:
10 + -5 + 17b + 6b2 = 5 + -5

Combine like terms: 10 + -5 = 5
5 + 17b + 6b2 = 5 + -5

Combine like terms: 5 + -5 = 0
5 + 17b + 6b2 = 0

Factor a trinomial.
(5 + 2b)(1 + 3b) = 0

Subproblem 1

Set the factor '(5 + 2b)' equal to zero and attempt to solve: Simplifying 5 + 2b = 0 Solving 5 + 2b = 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 + 2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 0 + -5 2b = 0 + -5 Combine like terms: 0 + -5 = -5 2b = -5 Divide each side by '2'. b = -2.5 Simplifying b = -2.5

Subproblem 2

Set the factor '(1 + 3b)' equal to zero and attempt to solve: Simplifying 1 + 3b = 0 Solving 1 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 0 + -1 3b = 0 + -1 Combine like terms: 0 + -1 = -1 3b = -1 Divide each side by '3'. b = -0.3333333333 Simplifying b = -0.3333333333

Solution

b = {-2.5, -0.3333333333}

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