3y^2=21y

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Solution for 3y^2=21y equation:


Simplifying
3y2 = 21y

Solving
3y2 = 21y

Solving for variable 'y'.

Reorder the terms:
-21y + 3y2 = 21y + -21y

Combine like terms: 21y + -21y = 0
-21y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-7 + y) = 0

Ignore the factor 3.

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 '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7

Solution

y = {0, 7}

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