(Y+4)(Y+4)=36

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Solution for (Y+4)(Y+4)=36 equation: 


Simplifying
(Y + 4)(Y + 4) = 36

Reorder the terms:
(4 + Y)(Y + 4) = 36

Reorder the terms:
(4 + Y)(4 + Y) = 36

Multiply (4 + Y) * (4 + Y)
(4(4 + Y) + Y(4 + Y)) = 36
((4 * 4 + Y * 4) + Y(4 + Y)) = 36
((16 + 4Y) + Y(4 + Y)) = 36
(16 + 4Y + (4 * Y + Y * Y)) = 36
(16 + 4Y + (4Y + Y2)) = 36

Combine like terms: 4Y + 4Y = 8Y
(16 + 8Y + Y2) = 36

Solving
16 + 8Y + Y2 = 36

Solving for variable 'Y'.

Reorder the terms:
16 + -36 + 8Y + Y2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + 8Y + Y2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + 8Y + Y2 = 0

Factor a trinomial.
(-10 + -1Y)(2 + -1Y) = 0


Subproblem 1
Set the factor '(-10 + -1Y)' equal to zero and attempt to solve:

Simplifying
-10 + -1Y = 0

Solving
-10 + -1Y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1Y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1Y = 0 + 10
-1Y = 0 + 10

Combine like terms: 0 + 10 = 10
-1Y = 10

Divide each side by '-1'.
Y = -10

Simplifying
Y = -10

Subproblem 2
Set the factor '(2 + -1Y)' equal to zero and attempt to solve:

Simplifying
2 + -1Y = 0

Solving
2 + -1Y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1Y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1Y = 0 + -2
-1Y = 0 + -2

Combine like terms: 0 + -2 = -2
-1Y = -2

Divide each side by '-1'.
Y = 2

Simplifying
Y = 2
Solution
Y = {-10, 2}

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