16+4y-y^2=11

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Solution for 16+4y-y^2=11 equation:


Simplifying
16 + 4y + -1y2 = 11

Solving
16 + 4y + -1y2 = 11

Solving for variable 'y'.

Reorder the terms:
16 + -11 + 4y + -1y2 = 11 + -11

Combine like terms: 16 + -11 = 5
5 + 4y + -1y2 = 11 + -11

Combine like terms: 11 + -11 = 0
5 + 4y + -1y2 = 0

Factor a trinomial.
(5 + -1y)(1 + y) = 0

Subproblem 1

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Subproblem 2

Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1

Solution

y = {5, -1}

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