(2x+2)*(2x+2)=-33

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Solution for (2x+2)*(2x+2)=-33 equation: 


Simplifying
(2x + 2)(2x + 2) = -33

Reorder the terms:
(2 + 2x)(2x + 2) = -33

Reorder the terms:
(2 + 2x)(2 + 2x) = -33

Multiply (2 + 2x) * (2 + 2x)
(2(2 + 2x) + 2x * (2 + 2x)) = -33
((2 * 2 + 2x * 2) + 2x * (2 + 2x)) = -33
((4 + 4x) + 2x * (2 + 2x)) = -33
(4 + 4x + (2 * 2x + 2x * 2x)) = -33
(4 + 4x + (4x + 4x2)) = -33

Combine like terms: 4x + 4x = 8x
(4 + 8x + 4x2) = -33

Solving
4 + 8x + 4x2 = -33

Solving for variable 'x'.

Reorder the terms:
4 + 33 + 8x + 4x2 = -33 + 33

Combine like terms: 4 + 33 = 37
37 + 8x + 4x2 = -33 + 33

Combine like terms: -33 + 33 = 0
37 + 8x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
9.25 + 2x + x2 = 0

Move the constant term to the right:

Add '-9.25' to each side of the equation.
9.25 + 2x + -9.25 + x2 = 0 + -9.25

Reorder the terms:
9.25 + -9.25 + 2x + x2 = 0 + -9.25

Combine like terms: 9.25 + -9.25 = 0.00
0.00 + 2x + x2 = 0 + -9.25
2x + x2 = 0 + -9.25

Combine like terms: 0 + -9.25 = -9.25
2x + x2 = -9.25

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -9.25 + 1

Reorder the terms:
1 + 2x + x2 = -9.25 + 1

Combine like terms: -9.25 + 1 = -8.25
1 + 2x + x2 = -8.25

Factor a perfect square on the left side:
(x + 1)(x + 1) = -8.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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