55b^2-265b-50=0

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Solution for 55b^2-265b-50=0 equation:


Simplifying
55b2 + -265b + -50 = 0

Reorder the terms:
-50 + -265b + 55b2 = 0

Solving
-50 + -265b + 55b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + -53b + 11b2) = 0

Factor a trinomial.
5((-2 + -11b)(5 + -1b)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-2 + -11b)' equal to zero and attempt to solve: Simplifying -2 + -11b = 0 Solving -2 + -11b = 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 + -11b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11b = 0 + 2 -11b = 0 + 2 Combine like terms: 0 + 2 = 2 -11b = 2 Divide each side by '-11'. b = -0.1818181818 Simplifying b = -0.1818181818

Subproblem 2

Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5

Solution

b = {-0.1818181818, 5}

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