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

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

Simplifying
(5y + -7)(6 + -1y) = 0

Reorder the terms:
(-7 + 5y)(6 + -1y) = 0

Multiply (-7 + 5y) * (6 + -1y)
(-7(6 + -1y) + 5y * (6 + -1y)) = 0
((6 * -7 + -1y * -7) + 5y * (6 + -1y)) = 0
((-42 + 7y) + 5y * (6 + -1y)) = 0
(-42 + 7y + (6 * 5y + -1y * 5y)) = 0
(-42 + 7y + (30y + -5y2)) = 0

Combine like terms: 7y + 30y = 37y
(-42 + 37y + -5y2) = 0

Solving
-42 + 37y + -5y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve:

Simplifying
-6 + y = 0

Solving
-6 + y = 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 + y = 0 + 6

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

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

Simplifying
y = 6
Subproblem 2
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
Solution
y = {6, 1.4}