y(y+14)+33=0

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Solution for y(y+14)+33=0 equation:


Simplifying
y(y + 14) + 33 = 0

Reorder the terms:
y(14 + y) + 33 = 0
(14 * y + y * y) + 33 = 0
(14y + y2) + 33 = 0

Reorder the terms:
33 + 14y + y2 = 0

Solving
33 + 14y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + y)(3 + y) = 0

Subproblem 1

Set the factor '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 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 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11

Subproblem 2

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Solution

y = {-11, -3}

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