5y(8y-4y)+2y=

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Solution for 5y(8y-4y)+2y= equation: 


Simplifying
5y(8y + -4y) + 2y = 0

Combine like terms: 8y + -4y = 4y
5y(4y) + 2y = 0

Remove parenthesis around (4y)
5y * 4y + 2y = 0

Reorder the terms for easier multiplication:
5 * 4y * y + 2y = 0

Multiply 5 * 4
20y * y + 2y = 0

Multiply y * y
20y2 + 2y = 0

Reorder the terms:
2y + 20y2 = 0

Solving
2y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(1 + 10y) = 0

Ignore the factor 2.

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 '(1 + 10y)' equal to zero and attempt to solve:

Simplifying
1 + 10y = 0

Solving
1 + 10y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 10y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10y = 0 + -1
10y = 0 + -1

Combine like terms: 0 + -1 = -1
10y = -1

Divide each side by '10'.
y = -0.1

Simplifying
y = -0.1
Solution
y = {0, -0.1}

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