(2y+17)(5y+28)=0

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Solution for (2y+17)(5y+28)=0 equation: 


Simplifying
(2y + 17)(5y + 28) = 0

Reorder the terms:
(17 + 2y)(5y + 28) = 0

Reorder the terms:
(17 + 2y)(28 + 5y) = 0

Multiply (17 + 2y) * (28 + 5y)
(17(28 + 5y) + 2y * (28 + 5y)) = 0
((28 * 17 + 5y * 17) + 2y * (28 + 5y)) = 0
((476 + 85y) + 2y * (28 + 5y)) = 0
(476 + 85y + (28 * 2y + 5y * 2y)) = 0
(476 + 85y + (56y + 10y2)) = 0

Combine like terms: 85y + 56y = 141y
(476 + 141y + 10y2) = 0

Solving
476 + 141y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(17 + 2y)(28 + 5y) = 0


Subproblem 1
Set the factor '(17 + 2y)' equal to zero and attempt to solve:

Simplifying
17 + 2y = 0

Solving
17 + 2y = 0

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

Add '-17' to each side of the equation.
17 + -17 + 2y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2y = 0 + -17
2y = 0 + -17

Combine like terms: 0 + -17 = -17
2y = -17

Divide each side by '2'.
y = -8.5

Simplifying
y = -8.5

Subproblem 2
Set the factor '(28 + 5y)' equal to zero and attempt to solve:

Simplifying
28 + 5y = 0

Solving
28 + 5y = 0

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

Add '-28' to each side of the equation.
28 + -28 + 5y = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 5y = 0 + -28
5y = 0 + -28

Combine like terms: 0 + -28 = -28
5y = -28

Divide each side by '5'.
y = -5.6

Simplifying
y = -5.6
Solution
y = {-8.5, -5.6}

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