(9y+26)(8y+13)=0

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Solution for (9y+26)(8y+13)=0 equation: 


Simplifying
(9y + 26)(8y + 13) = 0

Reorder the terms:
(26 + 9y)(8y + 13) = 0

Reorder the terms:
(26 + 9y)(13 + 8y) = 0

Multiply (26 + 9y) * (13 + 8y)
(26(13 + 8y) + 9y * (13 + 8y)) = 0
((13 * 26 + 8y * 26) + 9y * (13 + 8y)) = 0
((338 + 208y) + 9y * (13 + 8y)) = 0
(338 + 208y + (13 * 9y + 8y * 9y)) = 0
(338 + 208y + (117y + 72y2)) = 0

Combine like terms: 208y + 117y = 325y
(338 + 325y + 72y2) = 0

Solving
338 + 325y + 72y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 9y)(13 + 8y) = 0


Subproblem 1
Set the factor '(26 + 9y)' equal to zero and attempt to solve:

Simplifying
26 + 9y = 0

Solving
26 + 9y = 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 + 9y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 9y = 0 + -26
9y = 0 + -26

Combine like terms: 0 + -26 = -26
9y = -26

Divide each side by '9'.
y = -2.888888889

Simplifying
y = -2.888888889

Subproblem 2
Set the factor '(13 + 8y)' equal to zero and attempt to solve:

Simplifying
13 + 8y = 0

Solving
13 + 8y = 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 + 8y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 8y = 0 + -13
8y = 0 + -13

Combine like terms: 0 + -13 = -13
8y = -13

Divide each side by '8'.
y = -1.625

Simplifying
y = -1.625
Solution
y = {-2.888888889, -1.625}

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