-b^2=121-22b

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Solution for -b^2=121-22b equation:


Simplifying
-1b2 = 121 + -22b

Solving
-1b2 = 121 + -22b

Solving for variable 'b'.

Reorder the terms:
-121 + 22b + -1b2 = 121 + -22b + -121 + 22b

Reorder the terms:
-121 + 22b + -1b2 = 121 + -121 + -22b + 22b

Combine like terms: 121 + -121 = 0
-121 + 22b + -1b2 = 0 + -22b + 22b
-121 + 22b + -1b2 = -22b + 22b

Combine like terms: -22b + 22b = 0
-121 + 22b + -1b2 = 0

Factor a trinomial.
(-11 + b)(11 + -1b) = 0

Subproblem 1

Set the factor '(-11 + b)' equal to zero and attempt to solve: Simplifying -11 + b = 0 Solving -11 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + b = 0 + 11 b = 0 + 11 Combine like terms: 0 + 11 = 11 b = 11 Simplifying b = 11

Subproblem 2

Set the factor '(11 + -1b)' equal to zero and attempt to solve: Simplifying 11 + -1b = 0 Solving 11 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1b = 0 + -11 -1b = 0 + -11 Combine like terms: 0 + -11 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11

Solution

b = {11, 11}

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