(x+2)*(x+2)=-7

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Solution for (x+2)*(x+2)=-7 equation:


Simplifying
(x + 2)(x + 2) = -7

Reorder the terms:
(2 + x)(x + 2) = -7

Reorder the terms:
(2 + x)(2 + x) = -7

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = -7
((2 * 2 + x * 2) + x(2 + x)) = -7
((4 + 2x) + x(2 + x)) = -7
(4 + 2x + (2 * x + x * x)) = -7
(4 + 2x + (2x + x2)) = -7

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = -7

Solving
4 + 4x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
4 + 7 + 4x + x2 = -7 + 7

Combine like terms: 4 + 7 = 11
11 + 4x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
11 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 4x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 4x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x + x2 = 0 + -11
4x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
4x + x2 = -11

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -11 + 4

Reorder the terms:
4 + 4x + x2 = -11 + 4

Combine like terms: -11 + 4 = -7
4 + 4x + x2 = -7

Factor a perfect square on the left side:
(x + 2)(x + 2) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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