3y^2+3y^2=18y

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Solution for 3y^2+3y^2=18y equation:


Simplifying
3y2 + 3y2 = 18y

Combine like terms: 3y2 + 3y2 = 6y2
6y2 = 18y

Solving
6y2 = 18y

Solving for variable 'y'.

Reorder the terms:
-18y + 6y2 = 18y + -18y

Combine like terms: 18y + -18y = 0
-18y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-3 + y) = 0

Ignore the factor 6.

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 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3

Solution

y = {0, 3}

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