y^2-6y+34y=0

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Solution for y^2-6y+34y=0 equation: 


Simplifying
y2 + -6y + 34y = 0

Reorder the terms:
-6y + 34y + y2 = 0

Combine like terms: -6y + 34y = 28y
28y + y2 = 0

Solving
28y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(28 + y) = 0


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 '(28 + y)' equal to zero and attempt to solve:

Simplifying
28 + y = 0

Solving
28 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-28' to each side of the equation.
28 + -28 + y = 0 + -28

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

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

Simplifying
y = -28
Solution
y = {0, -28}

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