2y^2+24y+36=36

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Solution for 2y^2+24y+36=36 equation: 


Simplifying
2y2 + 24y + 36 = 36

Reorder the terms:
36 + 24y + 2y2 = 36

Add '-36' to each side of the equation.
36 + 24y + -36 + 2y2 = 36 + -36

Reorder the terms:
36 + -36 + 24y + 2y2 = 36 + -36

Combine like terms: 36 + -36 = 0
0 + 24y + 2y2 = 36 + -36
24y + 2y2 = 36 + -36

Combine like terms: 36 + -36 = 0
24y + 2y2 = 0

Solving
24y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(12 + 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 '(12 + y)' equal to zero and attempt to solve:

Simplifying
12 + y = 0

Solving
12 + y = 0

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

Add '-12' to each side of the equation.
12 + -12 + y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + y = 0 + -12
y = 0 + -12

Combine like terms: 0 + -12 = -12
y = -12

Simplifying
y = -12
Solution
y = {0, -12}

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