(4y+7)(9y+26)=0

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Solution for (4y+7)(9y+26)=0 equation: 


Simplifying
(4y + 7)(9y + 26) = 0

Reorder the terms:
(7 + 4y)(9y + 26) = 0

Reorder the terms:
(7 + 4y)(26 + 9y) = 0

Multiply (7 + 4y) * (26 + 9y)
(7(26 + 9y) + 4y * (26 + 9y)) = 0
((26 * 7 + 9y * 7) + 4y * (26 + 9y)) = 0
((182 + 63y) + 4y * (26 + 9y)) = 0
(182 + 63y + (26 * 4y + 9y * 4y)) = 0
(182 + 63y + (104y + 36y2)) = 0

Combine like terms: 63y + 104y = 167y
(182 + 167y + 36y2) = 0

Solving
182 + 167y + 36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 9y)(7 + 4y) = 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 '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75
Solution
y = {-2.888888889, -1.75}

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