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

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

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

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

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

Multiply (-5 + y) * (-6 + 7y)
(-5(-6 + 7y) + y(-6 + 7y)) = 0
((-6 * -5 + 7y * -5) + y(-6 + 7y)) = 0
((30 + -35y) + y(-6 + 7y)) = 0
(30 + -35y + (-6 * y + 7y * y)) = 0
(30 + -35y + (-6y + 7y2)) = 0

Combine like terms: -35y + -6y = -41y
(30 + -41y + 7y2) = 0

Solving
30 + -41y + 7y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(6 + -7y)' equal to zero and attempt to solve:

Simplifying
6 + -7y = 0

Solving
6 + -7y = 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 + -7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 0 + -6
-7y = 0 + -6

Combine like terms: 0 + -6 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {0.8571428571, 5}