=(2+X)(2+X)

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Solution for =(2+X)(2+X) equation: 


Simplifying
0 = (2 + X)(2 + X)

Multiply (2 + X) * (2 + X)
0 = (2(2 + X) + X(2 + X))
0 = ((2 * 2 + X * 2) + X(2 + X))
0 = ((4 + 2X) + X(2 + X))
0 = (4 + 2X + (2 * X + X * X))
0 = (4 + 2X + (2X + X2))

Combine like terms: 2X + 2X = 4X
0 = (4 + 4X + X2)

Solving
0 = 4 + 4X + X2

Solving for variable 'X'.

Combine like terms: 0 + -4 = -4
-4 + -4X + -1X2 = 4 + 4X + X2 + -4 + -4X + -1X2

Reorder the terms:
-4 + -4X + -1X2 = 4 + -4 + 4X + -4X + X2 + -1X2

Combine like terms: 4 + -4 = 0
-4 + -4X + -1X2 = 0 + 4X + -4X + X2 + -1X2
-4 + -4X + -1X2 = 4X + -4X + X2 + -1X2

Combine like terms: 4X + -4X = 0
-4 + -4X + -1X2 = 0 + X2 + -1X2
-4 + -4X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-4 + -4X + -1X2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 4X + X2) = 0

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

Ignore the factor -1.

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

Simplifying
2 + X = 0

Solving
2 + X = 0

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

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

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

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

Simplifying
X = -2

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

Simplifying
2 + X = 0

Solving
2 + X = 0

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

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

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

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

Simplifying
X = -2
Solution
X = {-2, -2}

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