2y^2+36y+81=81

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Solution for 2y^2+36y+81=81 equation: 


Simplifying
2y2 + 36y + 81 = 81

Reorder the terms:
81 + 36y + 2y2 = 81

Add '-81' to each side of the equation.
81 + 36y + -81 + 2y2 = 81 + -81

Reorder the terms:
81 + -81 + 36y + 2y2 = 81 + -81

Combine like terms: 81 + -81 = 0
0 + 36y + 2y2 = 81 + -81
36y + 2y2 = 81 + -81

Combine like terms: 81 + -81 = 0
36y + 2y2 = 0

Solving
36y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(18 + 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 '(18 + y)' equal to zero and attempt to solve:

Simplifying
18 + y = 0

Solving
18 + y = 0

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

Add '-18' to each side of the equation.
18 + -18 + y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + y = 0 + -18
y = 0 + -18

Combine like terms: 0 + -18 = -18
y = -18

Simplifying
y = -18
Solution
y = {0, -18}

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