3Y(2Y-7)=

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Solution for 3Y(2Y-7)= equation: 


Simplifying
3Y(2Y + -7) = 0

Reorder the terms:
3Y(-7 + 2Y) = 0
(-7 * 3Y + 2Y * 3Y) = 0
(-21Y + 6Y2) = 0

Solving
-21Y + 6Y2 = 0

Solving for variable 'Y'.

Factor out the Greatest Common Factor (GCF), '3Y'.
3Y(-7 + 2Y) = 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 '(-7 + 2Y)' equal to zero and attempt to solve:

Simplifying
-7 + 2Y = 0

Solving
-7 + 2Y = 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 + 2Y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2Y = 0 + 7
2Y = 0 + 7

Combine like terms: 0 + 7 = 7
2Y = 7

Divide each side by '2'.
Y = 3.5

Simplifying
Y = 3.5
Solution
Y = {0, 3.5}

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