(9y+28)(7y+19)=

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Solution for (9y+28)(7y+19)= equation: 


Simplifying
(9y + 28)(7y + 19) = 0

Reorder the terms:
(28 + 9y)(7y + 19) = 0

Reorder the terms:
(28 + 9y)(19 + 7y) = 0

Multiply (28 + 9y) * (19 + 7y)
(28(19 + 7y) + 9y * (19 + 7y)) = 0
((19 * 28 + 7y * 28) + 9y * (19 + 7y)) = 0
((532 + 196y) + 9y * (19 + 7y)) = 0
(532 + 196y + (19 * 9y + 7y * 9y)) = 0
(532 + 196y + (171y + 63y2)) = 0

Combine like terms: 196y + 171y = 367y
(532 + 367y + 63y2) = 0

Solving
532 + 367y + 63y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(28 + 9y)(19 + 7y) = 0


Subproblem 1
Set the factor '(28 + 9y)' equal to zero and attempt to solve:

Simplifying
28 + 9y = 0

Solving
28 + 9y = 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 + 9y = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 9y = 0 + -28
9y = 0 + -28

Combine like terms: 0 + -28 = -28
9y = -28

Divide each side by '9'.
y = -3.111111111

Simplifying
y = -3.111111111

Subproblem 2
Set the factor '(19 + 7y)' equal to zero and attempt to solve:

Simplifying
19 + 7y = 0

Solving
19 + 7y = 0

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

Add '-19' to each side of the equation.
19 + -19 + 7y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 7y = 0 + -19
7y = 0 + -19

Combine like terms: 0 + -19 = -19
7y = -19

Divide each side by '7'.
y = -2.714285714

Simplifying
y = -2.714285714
Solution
y = {-3.111111111, -2.714285714}

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