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

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


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

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

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

Multiply (8 + 9y) * (26 + 8y)
(8(26 + 8y) + 9y * (26 + 8y)) = 0
((26 * 8 + 8y * 8) + 9y * (26 + 8y)) = 0
((208 + 64y) + 9y * (26 + 8y)) = 0
(208 + 64y + (26 * 9y + 8y * 9y)) = 0
(208 + 64y + (234y + 72y2)) = 0

Combine like terms: 64y + 234y = 298y
(208 + 298y + 72y2) = 0

Solving
208 + 298y + 72y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(104 + 149y + 36y2) = 0

Factor a trinomial.
2((13 + 4y)(8 + 9y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13 + 4y)' equal to zero and attempt to solve:

Simplifying
13 + 4y = 0

Solving
13 + 4y = 0

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

Add '-13' to each side of the equation.
13 + -13 + 4y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4y = 0 + -13
4y = 0 + -13

Combine like terms: 0 + -13 = -13
4y = -13

Divide each side by '4'.
y = -3.25

Simplifying
y = -3.25

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 = {-3.25, -0.8888888889}

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