-4b^2-16b+65=0

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Solution for -4b^2-16b+65=0 equation:


Simplifying
-4b2 + -16b + 65 = 0

Reorder the terms:
65 + -16b + -4b2 = 0

Solving
65 + -16b + -4b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(5 + -2b)(13 + 2b) = 0

Subproblem 1

Set the factor '(5 + -2b)' equal to zero and attempt to solve: Simplifying 5 + -2b = 0 Solving 5 + -2b = 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 + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = 0 + -5 -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -2b = -5 Divide each side by '-2'. b = 2.5 Simplifying b = 2.5

Subproblem 2

Set the factor '(13 + 2b)' equal to zero and attempt to solve: Simplifying 13 + 2b = 0 Solving 13 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2b = 0 + -13 2b = 0 + -13 Combine like terms: 0 + -13 = -13 2b = -13 Divide each side by '2'. b = -6.5 Simplifying b = -6.5

Solution

b = {2.5, -6.5}

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