12Y-3Y(2Y-4)+3Y^2=

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Solution for 12Y-3Y(2Y-4)+3Y^2= equation: 


Simplifying
12Y + -3Y(2Y + -4) + 3Y2 = 0

Reorder the terms:
12Y + -3Y(-4 + 2Y) + 3Y2 = 0
12Y + (-4 * -3Y + 2Y * -3Y) + 3Y2 = 0
12Y + (12Y + -6Y2) + 3Y2 = 0

Combine like terms: 12Y + 12Y = 24Y
24Y + -6Y2 + 3Y2 = 0

Combine like terms: -6Y2 + 3Y2 = -3Y2
24Y + -3Y2 = 0

Solving
24Y + -3Y2 = 0

Solving for variable 'Y'.

Factor out the Greatest Common Factor (GCF), '3Y'.
3Y(8 + -1Y) = 0

Ignore the factor 3.

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 '(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 = {0, 8}

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