6y^3-9y^2=

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Solution for 6y^3-9y^2= equation:


Simplifying
6y3 + -9y2 = 0

Reorder the terms:
-9y2 + 6y3 = 0

Solving
-9y2 + 6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(-3 + 2y) = 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 '(-3 + 2y)' equal to zero and attempt to solve: Simplifying -3 + 2y = 0 Solving -3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 0 + 3 2y = 0 + 3 Combine like terms: 0 + 3 = 3 2y = 3 Divide each side by '2'. y = 1.5 Simplifying y = 1.5

Solution

y = {0, 1.5}

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