(7+y)(5y-6)=0

Solution for (7+y)(5y-6)=0 equation:

Simplifying
(7 + y)(5y + -6) = 0

Reorder the terms:
(7 + y)(-6 + 5y) = 0

Multiply (7 + y) * (-6 + 5y)
(7(-6 + 5y) + y(-6 + 5y)) = 0
((-6 * 7 + 5y * 7) + y(-6 + 5y)) = 0
((-42 + 35y) + y(-6 + 5y)) = 0
(-42 + 35y + (-6 * y + 5y * y)) = 0
(-42 + 35y + (-6y + 5y2)) = 0

Combine like terms: 35y + -6y = 29y
(-42 + 29y + 5y2) = 0

Solving
-42 + 29y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(6 + -5y) = 0

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

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 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 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7
Subproblem 2
Set the factor '(6 + -5y)' equal to zero and attempt to solve:

Simplifying
6 + -5y = 0

Solving
6 + -5y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 0 + -6
-5y = 0 + -6

Combine like terms: 0 + -6 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2
Solution
y = {-7, 1.2}