[(x+3)(x+3)]+8=

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Solution for [(x+3)(x+3)]+8= equation:


Simplifying
[(x + 3)(x + 3)] + 8 = 0

Reorder the terms:
[(3 + x)(x + 3)] + 8 = 0

Reorder the terms:
[(3 + x)(3 + x)] + 8 = 0

Multiply (3 + x) * (3 + x)
[(3(3 + x) + x(3 + x))] + 8 = 0
[((3 * 3 + x * 3) + x(3 + x))] + 8 = 0
[((9 + 3x) + x(3 + x))] + 8 = 0
[(9 + 3x + (3 * x + x * x))] + 8 = 0
[(9 + 3x + (3x + x2))] + 8 = 0

Combine like terms: 3x + 3x = 6x
[(9 + 6x + x2)] + 8 = 0
[9 + 6x + x2] + 8 = 0

Remove brackets around [9 + 6x + x2]
9 + 6x + x2 + 8 = 0

Reorder the terms:
9 + 8 + 6x + x2 = 0

Combine like terms: 9 + 8 = 17
17 + 6x + x2 = 0

Solving
17 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 6x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + 6x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 6x + x2 = 0 + -17
6x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
6x + x2 = -17

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -17 + 9

Reorder the terms:
9 + 6x + x2 = -17 + 9

Combine like terms: -17 + 9 = -8
9 + 6x + x2 = -8

Factor a perfect square on the left side:
(x + 3)(x + 3) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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