(7y+8)(5y+26)=0

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Solution for (7y+8)(5y+26)=0 equation: 


Simplifying
(7y + 8)(5y + 26) = 0

Reorder the terms:
(8 + 7y)(5y + 26) = 0

Reorder the terms:
(8 + 7y)(26 + 5y) = 0

Multiply (8 + 7y) * (26 + 5y)
(8(26 + 5y) + 7y * (26 + 5y)) = 0
((26 * 8 + 5y * 8) + 7y * (26 + 5y)) = 0
((208 + 40y) + 7y * (26 + 5y)) = 0
(208 + 40y + (26 * 7y + 5y * 7y)) = 0
(208 + 40y + (182y + 35y2)) = 0

Combine like terms: 40y + 182y = 222y
(208 + 222y + 35y2) = 0

Solving
208 + 222y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(26 + 5y)(8 + 7y) = 0


Subproblem 1
Set the factor '(26 + 5y)' equal to zero and attempt to solve:

Simplifying
26 + 5y = 0

Solving
26 + 5y = 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 + 5y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 5y = 0 + -26
5y = 0 + -26

Combine like terms: 0 + -26 = -26
5y = -26

Divide each side by '5'.
y = -5.2

Simplifying
y = -5.2

Subproblem 2
Set the factor '(8 + 7y)' equal to zero and attempt to solve:

Simplifying
8 + 7y = 0

Solving
8 + 7y = 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 + 7y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 0 + -8
7y = 0 + -8

Combine like terms: 0 + -8 = -8
7y = -8

Divide each side by '7'.
y = -1.142857143

Simplifying
y = -1.142857143
Solution
y = {-5.2, -1.142857143}

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