(3y+28)(8y+25)=0

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Solution for (3y+28)(8y+25)=0 equation: 


Simplifying
(3y + 28)(8y + 25) = 0

Reorder the terms:
(28 + 3y)(8y + 25) = 0

Reorder the terms:
(28 + 3y)(25 + 8y) = 0

Multiply (28 + 3y) * (25 + 8y)
(28(25 + 8y) + 3y * (25 + 8y)) = 0
((25 * 28 + 8y * 28) + 3y * (25 + 8y)) = 0
((700 + 224y) + 3y * (25 + 8y)) = 0
(700 + 224y + (25 * 3y + 8y * 3y)) = 0
(700 + 224y + (75y + 24y2)) = 0

Combine like terms: 224y + 75y = 299y
(700 + 299y + 24y2) = 0

Solving
700 + 299y + 24y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(28 + 3y)(25 + 8y) = 0


Subproblem 1
Set the factor '(28 + 3y)' equal to zero and attempt to solve:

Simplifying
28 + 3y = 0

Solving
28 + 3y = 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 + 3y = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 3y = 0 + -28
3y = 0 + -28

Combine like terms: 0 + -28 = -28
3y = -28

Divide each side by '3'.
y = -9.333333333

Simplifying
y = -9.333333333

Subproblem 2
Set the factor '(25 + 8y)' equal to zero and attempt to solve:

Simplifying
25 + 8y = 0

Solving
25 + 8y = 0

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

Add '-25' to each side of the equation.
25 + -25 + 8y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 8y = 0 + -25
8y = 0 + -25

Combine like terms: 0 + -25 = -25
8y = -25

Divide each side by '8'.
y = -3.125

Simplifying
y = -3.125
Solution
y = {-9.333333333, -3.125}

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