15y^2-12y=3y

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Solution for 15y^2-12y=3y equation:


Simplifying
15y2 + -12y = 3y

Reorder the terms:
-12y + 15y2 = 3y

Solving
-12y + 15y2 = 3y

Solving for variable 'y'.

Reorder the terms:
-12y + -3y + 15y2 = 3y + -3y

Combine like terms: -12y + -3y = -15y
-15y + 15y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
-15y + 15y2 = 0

Factor out the Greatest Common Factor (GCF), '15y'.
15y(-1 + y) = 0

Ignore the factor 15.

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 '(-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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