(1+y)(5y+7)=0

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Solution for (1+y)(5y+7)=0 equation: 


Simplifying
(1 + y)(5y + 7) = 0

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

Multiply (1 + y) * (7 + 5y)
(1(7 + 5y) + y(7 + 5y)) = 0
((7 * 1 + 5y * 1) + y(7 + 5y)) = 0
((7 + 5y) + y(7 + 5y)) = 0
(7 + 5y + (7 * y + 5y * y)) = 0
(7 + 5y + (7y + 5y2)) = 0

Combine like terms: 5y + 7y = 12y
(7 + 12y + 5y2) = 0

Solving
7 + 12y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 5y)(1 + y) = 0


Subproblem 1
Set the factor '(7 + 5y)' equal to zero and attempt to solve:

Simplifying
7 + 5y = 0

Solving
7 + 5y = 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 + 5y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5y = 0 + -7
5y = 0 + -7

Combine like terms: 0 + -7 = -7
5y = -7

Divide each side by '5'.
y = -1.4

Simplifying
y = -1.4

Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Solution
y = {-1.4, -1}

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