5y(-1+5y)(-1-4y)=0

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Solution for 5y(-1+5y)(-1-4y)=0 equation: 


Simplifying
5y(-1 + 5y)(-1 + -4y) = 0

Multiply (-1 + 5y) * (-1 + -4y)
5y(-1(-1 + -4y) + 5y * (-1 + -4y)) = 0
5y((-1 * -1 + -4y * -1) + 5y * (-1 + -4y)) = 0
5y((1 + 4y) + 5y * (-1 + -4y)) = 0
5y(1 + 4y + (-1 * 5y + -4y * 5y)) = 0
5y(1 + 4y + (-5y + -20y2)) = 0

Combine like terms: 4y + -5y = -1y
5y(1 + -1y + -20y2) = 0
(1 * 5y + -1y * 5y + -20y2 * 5y) = 0
(5y + -5y2 + -100y3) = 0

Solving
5y + -5y2 + -100y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(1 + -1y + -20y2) = 0

Factor a trinomial.
5y((1 + -5y)(1 + 4y)) = 0

Ignore the factor 5.

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 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2

Subproblem 3
Set the factor '(1 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 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 + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y = 0 + -1
4y = 0 + -1

Combine like terms: 0 + -1 = -1
4y = -1

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25
Solution
y = {0, 0.2, -0.25}

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