(2y+17)(3y+10)=0

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Solution for (2y+17)(3y+10)=0 equation: 


Simplifying
(2y + 17)(3y + 10) = 0

Reorder the terms:
(17 + 2y)(3y + 10) = 0

Reorder the terms:
(17 + 2y)(10 + 3y) = 0

Multiply (17 + 2y) * (10 + 3y)
(17(10 + 3y) + 2y * (10 + 3y)) = 0
((10 * 17 + 3y * 17) + 2y * (10 + 3y)) = 0
((170 + 51y) + 2y * (10 + 3y)) = 0
(170 + 51y + (10 * 2y + 3y * 2y)) = 0
(170 + 51y + (20y + 6y2)) = 0

Combine like terms: 51y + 20y = 71y
(170 + 71y + 6y2) = 0

Solving
170 + 71y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(17 + 2y)(10 + 3y) = 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 '(10 + 3y)' equal to zero and attempt to solve:

Simplifying
10 + 3y = 0

Solving
10 + 3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 0 + -10
3y = 0 + -10

Combine like terms: 0 + -10 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333
Solution
y = {-8.5, -3.333333333}

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