x^2+16x+64=16-x^2+9x

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Solution for x^2+16x+64=16-x^2+9x equation: 


Simplifying
x2 + 16x + 64 = 16 + -1x2 + 9x

Reorder the terms:
64 + 16x + x2 = 16 + -1x2 + 9x

Reorder the terms:
64 + 16x + x2 = 16 + 9x + -1x2

Solving
64 + 16x + x2 = 16 + 9x + -1x2

Solving for variable 'x'.

Reorder the terms:
64 + -16 + 16x + -9x + x2 + x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Combine like terms: 64 + -16 = 48
48 + 16x + -9x + x2 + x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Combine like terms: 16x + -9x = 7x
48 + 7x + x2 + x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Combine like terms: x2 + x2 = 2x2
48 + 7x + 2x2 = 16 + 9x + -1x2 + -16 + -9x + x2

Reorder the terms:
48 + 7x + 2x2 = 16 + -16 + 9x + -9x + -1x2 + x2

Combine like terms: 16 + -16 = 0
48 + 7x + 2x2 = 0 + 9x + -9x + -1x2 + x2
48 + 7x + 2x2 = 9x + -9x + -1x2 + x2

Combine like terms: 9x + -9x = 0
48 + 7x + 2x2 = 0 + -1x2 + x2
48 + 7x + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
48 + 7x + 2x2 = 0

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

Divide each side by '2'.
24 + 3.5x + x2 = 0

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + 3.5x + -24 + x2 = 0 + -24

Reorder the terms:
24 + -24 + 3.5x + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 3.5x + x2 = 0 + -24
3.5x + x2 = 0 + -24

Combine like terms: 0 + -24 = -24
3.5x + x2 = -24

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = -24 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = -24 + 3.0625

Combine like terms: -24 + 3.0625 = -20.9375
3.0625 + 3.5x + x2 = -20.9375

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = -20.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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