3y^3(2y+5)(y-5)=

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Solution for 3y^3(2y+5)(y-5)= equation: 


Simplifying
3y3(2y + 5)(y + -5) = 0

Reorder the terms:
3y3(5 + 2y)(y + -5) = 0

Reorder the terms:
3y3(5 + 2y)(-5 + y) = 0

Multiply (5 + 2y) * (-5 + y)
3y3(5(-5 + y) + 2y * (-5 + y)) = 0
3y3((-5 * 5 + y * 5) + 2y * (-5 + y)) = 0
3y3((-25 + 5y) + 2y * (-5 + y)) = 0
3y3(-25 + 5y + (-5 * 2y + y * 2y)) = 0
3y3(-25 + 5y + (-10y + 2y2)) = 0

Combine like terms: 5y + -10y = -5y
3y3(-25 + -5y + 2y2) = 0
(-25 * 3y3 + -5y * 3y3 + 2y2 * 3y3) = 0
(-75y3 + -15y4 + 6y5) = 0

Solving
-75y3 + -15y4 + 6y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-25 + -5y + 2y2) = 0

Factor a trinomial.
3y3((-5 + -2y)(5 + -1y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Subproblem 3
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-2.5, 5}

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