4y^2-27y+44=0

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Solution for 4y^2-27y+44=0 equation: 


Simplifying
4y2 + -27y + 44 = 0

Reorder the terms:
44 + -27y + 4y2 = 0

Solving
44 + -27y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + -4y)(4 + -1y) = 0


Subproblem 1
Set the factor '(11 + -4y)' equal to zero and attempt to solve:

Simplifying
11 + -4y = 0

Solving
11 + -4y = 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 + -4y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = 0 + -11
-4y = 0 + -11

Combine like terms: 0 + -11 = -11
-4y = -11

Divide each side by '-4'.
y = 2.75

Simplifying
y = 2.75

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {2.75, 4}

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