(5y+16)(7y+26)=0

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Solution for (5y+16)(7y+26)=0 equation: 


Simplifying
(5y + 16)(7y + 26) = 0

Reorder the terms:
(16 + 5y)(7y + 26) = 0

Reorder the terms:
(16 + 5y)(26 + 7y) = 0

Multiply (16 + 5y) * (26 + 7y)
(16(26 + 7y) + 5y * (26 + 7y)) = 0
((26 * 16 + 7y * 16) + 5y * (26 + 7y)) = 0
((416 + 112y) + 5y * (26 + 7y)) = 0
(416 + 112y + (26 * 5y + 7y * 5y)) = 0
(416 + 112y + (130y + 35y2)) = 0

Combine like terms: 112y + 130y = 242y
(416 + 242y + 35y2) = 0

Solving
416 + 242y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 7y)(16 + 5y) = 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 '(16 + 5y)' equal to zero and attempt to solve:

Simplifying
16 + 5y = 0

Solving
16 + 5y = 0

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

Add '-16' to each side of the equation.
16 + -16 + 5y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5y = 0 + -16
5y = 0 + -16

Combine like terms: 0 + -16 = -16
5y = -16

Divide each side by '5'.
y = -3.2

Simplifying
y = -3.2
Solution
y = {-3.714285714, -3.2}

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