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 = 40y
40y + y2 = 0

Solving
40y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(40 + 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 '(40 + y)' equal to zero and attempt to solve: Simplifying 40 + y = 0 Solving 40 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + y = 0 + -40 y = 0 + -40 Combine like terms: 0 + -40 = -40 y = -40 Simplifying y = -40

Solution

y = {0, -40}

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