14y+y^2=-24

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Solution for 14y+y^2=-24 equation:


Simplifying
14y + y2 = -24

Solving
14y + y2 = -24

Solving for variable 'y'.

Reorder the terms:
24 + 14y + y2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 14y + y2 = 0

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

Subproblem 1

Set the factor '(12 + y)' equal to zero and attempt to solve: Simplifying 12 + y = 0 Solving 12 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y = 0 + -12 y = 0 + -12 Combine like terms: 0 + -12 = -12 y = -12 Simplifying y = -12

Subproblem 2

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

Solution

y = {-12, -2}

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