3y^2-2y^3-6y^2+5y^3=

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Solution for 3y^2-2y^3-6y^2+5y^3= equation:


Simplifying
3y2 + -2y3 + -6y2 + 5y3 = 0

Reorder the terms:
3y2 + -6y2 + -2y3 + 5y3 = 0

Combine like terms: 3y2 + -6y2 = -3y2
-3y2 + -2y3 + 5y3 = 0

Combine like terms: -2y3 + 5y3 = 3y3
-3y2 + 3y3 = 0

Solving
-3y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(-1 + y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 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 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1

Solution

y = {0, 1}

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