10y^2-71y+88=0

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Solution for 10y^2-71y+88=0 equation: 


Simplifying
10y2 + -71y + 88 = 0

Reorder the terms:
88 + -71y + 10y2 = 0

Solving
88 + -71y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -5y)(11 + -2y) = 0


Subproblem 1
Set the factor '(8 + -5y)' equal to zero and attempt to solve:

Simplifying
8 + -5y = 0

Solving
8 + -5y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 0 + -8
-5y = 0 + -8

Combine like terms: 0 + -8 = -8
-5y = -8

Divide each side by '-5'.
y = 1.6

Simplifying
y = 1.6

Subproblem 2
Set the factor '(11 + -2y)' equal to zero and attempt to solve:

Simplifying
11 + -2y = 0

Solving
11 + -2y = 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 + -2y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = 0 + -11
-2y = 0 + -11

Combine like terms: 0 + -11 = -11
-2y = -11

Divide each side by '-2'.
y = 5.5

Simplifying
y = 5.5
Solution
y = {1.6, 5.5}

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