15y^3-10y^2=

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Solution for 15y^3-10y^2= equation:


Simplifying
15y3 + -10y2 = 0

Reorder the terms:
-10y2 + 15y3 = 0

Solving
-10y2 + 15y3 = 0

Solving for variable 'y'.

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

Ignore the factor 5.

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 '(-2 + 3y)' equal to zero and attempt to solve: Simplifying -2 + 3y = 0 Solving -2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 0 + 2 3y = 0 + 2 Combine like terms: 0 + 2 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667

Solution

y = {0, 0.6666666667}

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