-3b^2-14b+5=0

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Solution for -3b^2-14b+5=0 equation:


Simplifying
-3b2 + -14b + 5 = 0

Reorder the terms:
5 + -14b + -3b2 = 0

Solving
5 + -14b + -3b2 = 0

Solving for variable 'b'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 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 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5

Solution

b = {0.3333333333, -5}

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