(y-8)(y-7)=0

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Solution for (y-8)(y-7)=0 equation: 


Simplifying
(y + -8)(y + -7) = 0

Reorder the terms:
(-8 + y)(y + -7) = 0

Reorder the terms:
(-8 + y)(-7 + y) = 0

Multiply (-8 + y) * (-7 + y)
(-8(-7 + y) + y(-7 + y)) = 0
((-7 * -8 + y * -8) + y(-7 + y)) = 0
((56 + -8y) + y(-7 + y)) = 0
(56 + -8y + (-7 * y + y * y)) = 0
(56 + -8y + (-7y + y2)) = 0

Combine like terms: -8y + -7y = -15y
(56 + -15y + y2) = 0

Solving
56 + -15y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(8 + -1y) = 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 '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {7, 8}

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