3b^2-44=-b

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Solution for 3b^2-44=-b equation:


Simplifying
3b2 + -44 = -1b

Reorder the terms:
-44 + 3b2 = -1b

Solving
-44 + 3b2 = -1b

Solving for variable 'b'.

Reorder the terms:
-44 + b + 3b2 = -1b + b

Combine like terms: -1b + b = 0
-44 + b + 3b2 = 0

Factor a trinomial.
(-4 + -1b)(11 + -3b) = 0

Subproblem 1

Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4

Subproblem 2

Set the factor '(11 + -3b)' equal to zero and attempt to solve: Simplifying 11 + -3b = 0 Solving 11 + -3b = 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 + -3b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3b = 0 + -11 -3b = 0 + -11 Combine like terms: 0 + -11 = -11 -3b = -11 Divide each side by '-3'. b = 3.666666667 Simplifying b = 3.666666667

Solution

b = {-4, 3.666666667}

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