-69+20b+b^2=0

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Solution for -69+20b+b^2=0 equation:


Simplifying
-69 + 20b + b2 = 0

Solving
-69 + 20b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-23 + -1b)(3 + -1b) = 0

Subproblem 1

Set the factor '(-23 + -1b)' equal to zero and attempt to solve: Simplifying -23 + -1b = 0 Solving -23 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1b = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1b = 0 + 23 -1b = 0 + 23 Combine like terms: 0 + 23 = 23 -1b = 23 Divide each side by '-1'. b = -23 Simplifying b = -23

Subproblem 2

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

Solution

b = {-23, 3}

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