10y^2-15y=0

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Solution for 10y^2-15y=0 equation:


Simplifying
10y2 + -15y = 0

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

Solving
-15y + 10y2 = 0

Solving for variable 'y'.

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