(y-2)(5y)=

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Solution for (y-2)(5y)= equation: 


Simplifying
(y + -2)(5y) = 0

Reorder the terms:
(-2 + y)(5y) = 0

Remove parenthesis around (5y)
(-2 + y) * 5y = 0

Reorder the terms for easier multiplication:
5y(-2 + y) = 0
(-2 * 5y + y * 5y) = 0
(-10y + 5y2) = 0

Solving
-10y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-2 + y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

Add '2' to each side of the equation.
-2 + 2 + y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2
Solution
y = {0, 2}

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