(y+4)(y+4)=2y^2+4y+4

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


Simplifying
(y + 4)(y + 4) = 2y2 + 4y + 4

Reorder the terms:
(4 + y)(y + 4) = 2y2 + 4y + 4

Reorder the terms:
(4 + y)(4 + y) = 2y2 + 4y + 4

Multiply (4 + y) * (4 + y)
(4(4 + y) + y(4 + y)) = 2y2 + 4y + 4
((4 * 4 + y * 4) + y(4 + y)) = 2y2 + 4y + 4
((16 + 4y) + y(4 + y)) = 2y2 + 4y + 4
(16 + 4y + (4 * y + y * y)) = 2y2 + 4y + 4
(16 + 4y + (4y + y2)) = 2y2 + 4y + 4

Combine like terms: 4y + 4y = 8y
(16 + 8y + y2) = 2y2 + 4y + 4

Reorder the terms:
16 + 8y + y2 = 4 + 4y + 2y2

Solving
16 + 8y + y2 = 4 + 4y + 2y2

Solving for variable 'y'.

Reorder the terms:
16 + -4 + 8y + -4y + y2 + -2y2 = 4 + 4y + 2y2 + -4 + -4y + -2y2

Combine like terms: 16 + -4 = 12
12 + 8y + -4y + y2 + -2y2 = 4 + 4y + 2y2 + -4 + -4y + -2y2

Combine like terms: 8y + -4y = 4y
12 + 4y + y2 + -2y2 = 4 + 4y + 2y2 + -4 + -4y + -2y2

Combine like terms: y2 + -2y2 = -1y2
12 + 4y + -1y2 = 4 + 4y + 2y2 + -4 + -4y + -2y2

Reorder the terms:
12 + 4y + -1y2 = 4 + -4 + 4y + -4y + 2y2 + -2y2

Combine like terms: 4 + -4 = 0
12 + 4y + -1y2 = 0 + 4y + -4y + 2y2 + -2y2
12 + 4y + -1y2 = 4y + -4y + 2y2 + -2y2

Combine like terms: 4y + -4y = 0
12 + 4y + -1y2 = 0 + 2y2 + -2y2
12 + 4y + -1y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
12 + 4y + -1y2 = 0

Factor a trinomial.
(6 + -1y)(2 + y) = 0


Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {6, -2}

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