9(y^2+4y+36)=324

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Solution for 9(y^2+4y+36)=324 equation: 


Simplifying
9(y2 + 4y + 36) = 324

Reorder the terms:
9(36 + 4y + y2) = 324
(36 * 9 + 4y * 9 + y2 * 9) = 324
(324 + 36y + 9y2) = 324

Add '-324' to each side of the equation.
324 + 36y + -324 + 9y2 = 324 + -324

Reorder the terms:
324 + -324 + 36y + 9y2 = 324 + -324

Combine like terms: 324 + -324 = 0
0 + 36y + 9y2 = 324 + -324
36y + 9y2 = 324 + -324

Combine like terms: 324 + -324 = 0
36y + 9y2 = 0

Solving
36y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9y'.
9y(4 + y) = 0

Ignore the factor 9.

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

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Simplifying
y = -4
Solution
y = {0, -4}

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