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

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


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

Reorder the terms:
y(-5 + y) + -7(y + -5) = 0
(-5 * y + y * y) + -7(y + -5) = 0
(-5y + y2) + -7(y + -5) = 0

Reorder the terms:
-5y + y2 + -7(-5 + y) = 0
-5y + y2 + (-5 * -7 + y * -7) = 0
-5y + y2 + (35 + -7y) = 0

Reorder the terms:
35 + -5y + -7y + y2 = 0

Combine like terms: -5y + -7y = -12y
35 + -12y + y2 = 0

Solving
35 + -12y + y2 = 0

Solving for variable 'y'.

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


Subproblem 1
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

Subproblem 2
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
Solution
y = {5, 7}

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