4Y(2Y+5)=

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Solution for 4Y(2Y+5)= equation: 


Simplifying
4Y(2Y + 5) = 0

Reorder the terms:
4Y(5 + 2Y) = 0
(5 * 4Y + 2Y * 4Y) = 0
(20Y + 8Y2) = 0

Solving
20Y + 8Y2 = 0

Solving for variable 'Y'.

Factor out the Greatest Common Factor (GCF), '4Y'.
4Y(5 + 2Y) = 0

Ignore the factor 4.

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 '(5 + 2Y)' equal to zero and attempt to solve:

Simplifying
5 + 2Y = 0

Solving
5 + 2Y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2Y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2Y = 0 + -5
2Y = 0 + -5

Combine like terms: 0 + -5 = -5
2Y = -5

Divide each side by '2'.
Y = -2.5

Simplifying
Y = -2.5
Solution
Y = {0, -2.5}

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