4y^2+44y+121=0

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Solution for 4y^2+44y+121=0 equation:


Simplifying
4y2 + 44y + 121 = 0

Reorder the terms:
121 + 44y + 4y2 = 0

Solving
121 + 44y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 2y)(11 + 2y) = 0

Subproblem 1

Set the factor '(11 + 2y)' equal to zero and attempt to solve: Simplifying 11 + 2y = 0 Solving 11 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y = 0 + -11 2y = 0 + -11 Combine like terms: 0 + -11 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5

Subproblem 2

Set the factor '(11 + 2y)' equal to zero and attempt to solve: Simplifying 11 + 2y = 0 Solving 11 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y = 0 + -11 2y = 0 + -11 Combine like terms: 0 + -11 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5

Solution

y = {-5.5, -5.5}

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