y^2+6y+20y=0

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Solution for y^2+6y+20y=0 equation: 


Simplifying
y2 + 6y + 20y = 0

Reorder the terms:
6y + 20y + y2 = 0

Combine like terms: 6y + 20y = 26y
26y + y2 = 0

Solving
26y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(26 + 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 '(26 + y)' equal to zero and attempt to solve:

Simplifying
26 + y = 0

Solving
26 + y = 0

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

Add '-26' to each side of the equation.
26 + -26 + y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + y = 0 + -26
y = 0 + -26

Combine like terms: 0 + -26 = -26
y = -26

Simplifying
y = -26
Solution
y = {0, -26}

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