4y(5y-8)-28y=

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Solution for 4y(5y-8)-28y= equation: 


Simplifying
4y(5y + -8) + -28y = 0

Reorder the terms:
4y(-8 + 5y) + -28y = 0
(-8 * 4y + 5y * 4y) + -28y = 0
(-32y + 20y2) + -28y = 0

Reorder the terms:
-32y + -28y + 20y2 = 0

Combine like terms: -32y + -28y = -60y
-60y + 20y2 = 0

Solving
-60y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '20y'.
20y(-3 + y) = 0

Ignore the factor 20.

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 '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 0

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

Add '3' to each side of the equation.
-3 + 3 + y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + y = 0 + 3
y = 0 + 3

Combine like terms: 0 + 3 = 3
y = 3

Simplifying
y = 3
Solution
y = {0, 3}

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