(9y+8)(7y+26)=0

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Solution for (9y+8)(7y+26)=0 equation: 


Simplifying
(9y + 8)(7y + 26) = 0

Reorder the terms:
(8 + 9y)(7y + 26) = 0

Reorder the terms:
(8 + 9y)(26 + 7y) = 0

Multiply (8 + 9y) * (26 + 7y)
(8(26 + 7y) + 9y * (26 + 7y)) = 0
((26 * 8 + 7y * 8) + 9y * (26 + 7y)) = 0
((208 + 56y) + 9y * (26 + 7y)) = 0
(208 + 56y + (26 * 9y + 7y * 9y)) = 0
(208 + 56y + (234y + 63y2)) = 0

Combine like terms: 56y + 234y = 290y
(208 + 290y + 63y2) = 0

Solving
208 + 290y + 63y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 7y)(8 + 9y) = 0


Subproblem 1
Set the factor '(26 + 7y)' equal to zero and attempt to solve:

Simplifying
26 + 7y = 0

Solving
26 + 7y = 0

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

Add '-26' to each side of the equation.
26 + -26 + 7y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 7y = 0 + -26
7y = 0 + -26

Combine like terms: 0 + -26 = -26
7y = -26

Divide each side by '7'.
y = -3.714285714

Simplifying
y = -3.714285714

Subproblem 2
Set the factor '(8 + 9y)' equal to zero and attempt to solve:

Simplifying
8 + 9y = 0

Solving
8 + 9y = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9y = 0 + -8
9y = 0 + -8

Combine like terms: 0 + -8 = -8
9y = -8

Divide each side by '9'.
y = -0.8888888889

Simplifying
y = -0.8888888889
Solution
y = {-3.714285714, -0.8888888889}

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