6b^2-31b+35=

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Solution for 6b^2-31b+35= equation:


Simplifying
6b2 + -31b + 35 = 0

Reorder the terms:
35 + -31b + 6b2 = 0

Solving
35 + -31b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + -3b)(7 + -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 '(7 + -2b)' equal to zero and attempt to solve: Simplifying 7 + -2b = 0 Solving 7 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2b = 0 + -7 -2b = 0 + -7 Combine like terms: 0 + -7 = -7 -2b = -7 Divide each side by '-2'. b = 3.5 Simplifying b = 3.5

Solution

b = {1.666666667, 3.5}

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