(5y-28)(9y+20)=0

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Solution for (5y-28)(9y+20)=0 equation: 


Simplifying
(5y + -28)(9y + 20) = 0

Reorder the terms:
(-28 + 5y)(9y + 20) = 0

Reorder the terms:
(-28 + 5y)(20 + 9y) = 0

Multiply (-28 + 5y) * (20 + 9y)
(-28(20 + 9y) + 5y * (20 + 9y)) = 0
((20 * -28 + 9y * -28) + 5y * (20 + 9y)) = 0
((-560 + -252y) + 5y * (20 + 9y)) = 0
(-560 + -252y + (20 * 5y + 9y * 5y)) = 0
(-560 + -252y + (100y + 45y2)) = 0

Combine like terms: -252y + 100y = -152y
(-560 + -152y + 45y2) = 0

Solving
-560 + -152y + 45y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-20 + -9y)(28 + -5y) = 0


Subproblem 1
Set the factor '(-20 + -9y)' equal to zero and attempt to solve:

Simplifying
-20 + -9y = 0

Solving
-20 + -9y = 0

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

Add '20' to each side of the equation.
-20 + 20 + -9y = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -9y = 0 + 20
-9y = 0 + 20

Combine like terms: 0 + 20 = 20
-9y = 20

Divide each side by '-9'.
y = -2.222222222

Simplifying
y = -2.222222222

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 = {-2.222222222, 5.6}

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