4y(5y-8)+24y=

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Solution for 4y(5y-8)+24y= equation: 


Simplifying
4y(5y + -8) + 24y = 0

Reorder the terms:
4y(-8 + 5y) + 24y = 0
(-8 * 4y + 5y * 4y) + 24y = 0
(-32y + 20y2) + 24y = 0

Reorder the terms:
-32y + 24y + 20y2 = 0

Combine like terms: -32y + 24y = -8y
-8y + 20y2 = 0

Solving
-8y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-2 + 5y) = 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 '(-2 + 5y)' equal to zero and attempt to solve:

Simplifying
-2 + 5y = 0

Solving
-2 + 5y = 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 + 5y = 0 + 2

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

Combine like terms: 0 + 2 = 2
5y = 2

Divide each side by '5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {0, 0.4}

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