5y^3(y-2)-15y(y-2)=

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Solution for 5y^3(y-2)-15y(y-2)= equation:


Simplifying
5y3(y + -2) + -15y(y + -2) = 0

Reorder the terms:
5y3(-2 + y) + -15y(y + -2) = 0
(-2 * 5y3 + y * 5y3) + -15y(y + -2) = 0
(-10y3 + 5y4) + -15y(y + -2) = 0

Reorder the terms:
-10y3 + 5y4 + -15y(-2 + y) = 0
-10y3 + 5y4 + (-2 * -15y + y * -15y) = 0
-10y3 + 5y4 + (30y + -15y2) = 0

Reorder the terms:
30y + -15y2 + -10y3 + 5y4 = 0

Solving
30y + -15y2 + -10y3 + 5y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(6 + -3y + -2y2 + y3) = 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 '(6 + -3y + -2y2 + y3)' equal to zero and attempt to solve: Simplifying 6 + -3y + -2y2 + y3 = 0 Solving 6 + -3y + -2y2 + y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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