2y^2=28y

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Solution for 2y^2=28y equation:


Simplifying
2y2 = 28y

Solving
2y2 = 28y

Solving for variable 'y'.

Reorder the terms:
-28y + 2y2 = 28y + -28y

Combine like terms: 28y + -28y = 0
-28y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-14 + y) = 0

Ignore the factor 2.

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 '(-14 + y)' equal to zero and attempt to solve: Simplifying -14 + y = 0 Solving -14 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + y = 0 + 14 y = 0 + 14 Combine like terms: 0 + 14 = 14 y = 14 Simplifying y = 14

Solution

y = {0, 14}

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