(x+8)(x+8)2=16-x^2+9x

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Solution for (x+8)(x+8)2=16-x^2+9x equation: 


Simplifying
(x + 8)(x + 8) * 2 = 16 + -1x2 + 9x

Reorder the terms:
(8 + x)(x + 8) * 2 = 16 + -1x2 + 9x

Reorder the terms:
(8 + x)(8 + x) * 2 = 16 + -1x2 + 9x

Reorder the terms for easier multiplication:
2(8 + x)(8 + x) = 16 + -1x2 + 9x

Multiply (8 + x) * (8 + x)
2(8(8 + x) + x(8 + x)) = 16 + -1x2 + 9x
2((8 * 8 + x * 8) + x(8 + x)) = 16 + -1x2 + 9x
2((64 + 8x) + x(8 + x)) = 16 + -1x2 + 9x
2(64 + 8x + (8 * x + x * x)) = 16 + -1x2 + 9x
2(64 + 8x + (8x + x2)) = 16 + -1x2 + 9x

Combine like terms: 8x + 8x = 16x
2(64 + 16x + x2) = 16 + -1x2 + 9x
(64 * 2 + 16x * 2 + x2 * 2) = 16 + -1x2 + 9x
(128 + 32x + 2x2) = 16 + -1x2 + 9x

Reorder the terms:
128 + 32x + 2x2 = 16 + 9x + -1x2

Solving
128 + 32x + 2x2 = 16 + 9x + -1x2

Solving for variable 'x'.

Reorder the terms:
128 + -16 + 32x + -9x + 2x2 + x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Combine like terms: 128 + -16 = 112
112 + 32x + -9x + 2x2 + x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Combine like terms: 32x + -9x = 23x
112 + 23x + 2x2 + x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Combine like terms: 2x2 + x2 = 3x2
112 + 23x + 3x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Reorder the terms:
112 + 23x + 3x2 = 16 + -16 + 9x + -9x + -1x2 + x2

Combine like terms: 16 + -16 = 0
112 + 23x + 3x2 = 0 + 9x + -9x + -1x2 + x2
112 + 23x + 3x2 = 9x + -9x + -1x2 + x2

Combine like terms: 9x + -9x = 0
112 + 23x + 3x2 = 0 + -1x2 + x2
112 + 23x + 3x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
112 + 23x + 3x2 = 0

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

Divide each side by '3'.
37.33333333 + 7.666666667x + x2 = 0

Move the constant term to the right:

Add '-37.33333333' to each side of the equation.
37.33333333 + 7.666666667x + -37.33333333 + x2 = 0 + -37.33333333

Reorder the terms:
37.33333333 + -37.33333333 + 7.666666667x + x2 = 0 + -37.33333333

Combine like terms: 37.33333333 + -37.33333333 = 0.00000000
0.00000000 + 7.666666667x + x2 = 0 + -37.33333333
7.666666667x + x2 = 0 + -37.33333333

Combine like terms: 0 + -37.33333333 = -37.33333333
7.666666667x + x2 = -37.33333333

The x term is 7.666666667x.  Take half its coefficient (3.833333334).
Square it (14.69444445) and add it to both sides.

Add '14.69444445' to each side of the equation.
7.666666667x + 14.69444445 + x2 = -37.33333333 + 14.69444445

Reorder the terms:
14.69444445 + 7.666666667x + x2 = -37.33333333 + 14.69444445

Combine like terms: -37.33333333 + 14.69444445 = -22.63888888
14.69444445 + 7.666666667x + x2 = -22.63888888

Factor a perfect square on the left side:
(x + 3.833333334)(x + 3.833333334) = -22.63888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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