20y^2-92y+77=0

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Solution for 20y^2-92y+77=0 equation: 


Simplifying
20y2 + -92y + 77 = 0

Reorder the terms:
77 + -92y + 20y2 = 0

Solving
77 + -92y + 20y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + -10y)(7 + -2y) = 0


Subproblem 1
Set the factor '(11 + -10y)' equal to zero and attempt to solve:

Simplifying
11 + -10y = 0

Solving
11 + -10y = 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 + -10y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -10y = 0 + -11
-10y = 0 + -11

Combine like terms: 0 + -11 = -11
-10y = -11

Divide each side by '-10'.
y = 1.1

Simplifying
y = 1.1

Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve:

Simplifying
7 + -2y = 0

Solving
7 + -2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 0 + -7
-2y = 0 + -7

Combine like terms: 0 + -7 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {1.1, 3.5}

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