(y-3)(y-8)=0

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Solution for (y-3)(y-8)=0 equation:


Simplifying
(y + -3)(y + -8) = 0

Reorder the terms:
(-3 + y)(y + -8) = 0

Reorder the terms:
(-3 + y)(-8 + y) = 0

Multiply (-3 + y) * (-8 + y)
(-3(-8 + y) + y(-8 + y)) = 0
((-8 * -3 + y * -3) + y(-8 + y)) = 0
((24 + -3y) + y(-8 + y)) = 0
(24 + -3y + (-8 * y + y * y)) = 0
(24 + -3y + (-8y + y2)) = 0

Combine like terms: -3y + -8y = -11y
(24 + -11y + y2) = 0

Solving
24 + -11y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -1y)(8 + -1y) = 0


Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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 = {3, 8}

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