(x+3)(x+3)=x-3((x-3)+16)

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Solution for (x+3)(x+3)=x-3((x-3)+16) equation: 


Simplifying
(x + 3)(x + 3) = x + -3((x + -3) + 16)

Reorder the terms:
(3 + x)(x + 3) = x + -3((x + -3) + 16)

Reorder the terms:
(3 + x)(3 + x) = x + -3((x + -3) + 16)

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = x + -3((x + -3) + 16)
((3 * 3 + x * 3) + x(3 + x)) = x + -3((x + -3) + 16)
((9 + 3x) + x(3 + x)) = x + -3((x + -3) + 16)
(9 + 3x + (3 * x + x * x)) = x + -3((x + -3) + 16)
(9 + 3x + (3x + x2)) = x + -3((x + -3) + 16)

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = x + -3((x + -3) + 16)

Reorder the terms:
9 + 6x + x2 = x + -3((-3 + x) + 16)

Remove parenthesis around (-3 + x)
9 + 6x + x2 = x + -3(-3 + x + 16)

Reorder the terms:
9 + 6x + x2 = x + -3(-3 + 16 + x)

Combine like terms: -3 + 16 = 13
9 + 6x + x2 = x + -3(13 + x)
9 + 6x + x2 = x + (13 * -3 + x * -3)
9 + 6x + x2 = x + (-39 + -3x)

Reorder the terms:
9 + 6x + x2 = -39 + x + -3x

Combine like terms: x + -3x = -2x
9 + 6x + x2 = -39 + -2x

Solving
9 + 6x + x2 = -39 + -2x

Solving for variable 'x'.

Reorder the terms:
9 + 39 + 6x + 2x + x2 = -39 + -2x + 39 + 2x

Combine like terms: 9 + 39 = 48
48 + 6x + 2x + x2 = -39 + -2x + 39 + 2x

Combine like terms: 6x + 2x = 8x
48 + 8x + x2 = -39 + -2x + 39 + 2x

Reorder the terms:
48 + 8x + x2 = -39 + 39 + -2x + 2x

Combine like terms: -39 + 39 = 0
48 + 8x + x2 = 0 + -2x + 2x
48 + 8x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
48 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 8x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 8x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 8x + x2 = 0 + -48
8x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
8x + x2 = -48

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -48 + 16

Reorder the terms:
16 + 8x + x2 = -48 + 16

Combine like terms: -48 + 16 = -32
16 + 8x + x2 = -32

Factor a perfect square on the left side:
(x + 4)(x + 4) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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