7(y+1)(3-5y)=0

Solution for 7(y+1)(3-5y)=0 equation:

Simplifying
7(y + 1)(3 + -5y) = 0

Reorder the terms:
7(1 + y)(3 + -5y) = 0

Multiply (1 + y) * (3 + -5y)
7(1(3 + -5y) + y(3 + -5y)) = 0
7((3 * 1 + -5y * 1) + y(3 + -5y)) = 0
7((3 + -5y) + y(3 + -5y)) = 0
7(3 + -5y + (3 * y + -5y * y)) = 0
7(3 + -5y + (3y + -5y2)) = 0

Combine like terms: -5y + 3y = -2y
7(3 + -2y + -5y2) = 0
(3 * 7 + -2y * 7 + -5y2 * 7) = 0
(21 + -14y + -35y2) = 0

Solving
21 + -14y + -35y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7'.
7(3 + -2y + -5y2) = 0

Factor a trinomial.
7((3 + -5y)(1 + y)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(3 + -5y)' equal to zero and attempt to solve:

Simplifying
3 + -5y = 0

Solving
3 + -5y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 0 + -3
-5y = 0 + -3

Combine like terms: 0 + -3 = -3
-5y = -3

Divide each side by '-5'.
y = 0.6

Simplifying
y = 0.6
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 = {0.6, -1}