9b^2-65b+14=0

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Solution for 9b^2-65b+14=0 equation:


Simplifying
9b2 + -65b + 14 = 0

Reorder the terms:
14 + -65b + 9b2 = 0

Solving
14 + -65b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + -9b)(7 + -1b) = 0

Subproblem 1

Set the factor '(2 + -9b)' equal to zero and attempt to solve: Simplifying 2 + -9b = 0 Solving 2 + -9b = 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 + -9b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9b = 0 + -2 -9b = 0 + -2 Combine like terms: 0 + -2 = -2 -9b = -2 Divide each side by '-9'. b = 0.2222222222 Simplifying b = 0.2222222222

Subproblem 2

Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 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 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7

Solution

b = {0.2222222222, 7}

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