(3y-6)(-5y)=

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Solution for (3y-6)(-5y)= equation: 


Simplifying
(3y + -6)(-5y) = 0

Reorder the terms:
(-6 + 3y)(-5y) = 0

Remove parenthesis around (-5y)
(-6 + 3y) * -5y = 0

Reorder the terms for easier multiplication:
-5y(-6 + 3y) = 0
(-6 * -5y + 3y * -5y) = 0
(30y + -15y2) = 0

Solving
30y + -15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '15y'.
15y(2 + -1y) = 0

Ignore the factor 15.

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 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

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

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