-x^2+17x+1=-5x^2+x-16

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Solution for -x^2+17x+1=-5x^2+x-16 equation: 


Simplifying
-1x2 + 17x + 1 = -5x2 + x + -16

Reorder the terms:
1 + 17x + -1x2 = -5x2 + x + -16

Reorder the terms:
1 + 17x + -1x2 = -16 + x + -5x2

Solving
1 + 17x + -1x2 = -16 + x + -5x2

Solving for variable 'x'.

Reorder the terms:
1 + 16 + 17x + -1x + -1x2 + 5x2 = -16 + x + -5x2 + 16 + -1x + 5x2

Combine like terms: 1 + 16 = 17
17 + 17x + -1x + -1x2 + 5x2 = -16 + x + -5x2 + 16 + -1x + 5x2

Combine like terms: 17x + -1x = 16x
17 + 16x + -1x2 + 5x2 = -16 + x + -5x2 + 16 + -1x + 5x2

Combine like terms: -1x2 + 5x2 = 4x2
17 + 16x + 4x2 = -16 + x + -5x2 + 16 + -1x + 5x2

Reorder the terms:
17 + 16x + 4x2 = -16 + 16 + x + -1x + -5x2 + 5x2

Combine like terms: -16 + 16 = 0
17 + 16x + 4x2 = 0 + x + -1x + -5x2 + 5x2
17 + 16x + 4x2 = x + -1x + -5x2 + 5x2

Combine like terms: x + -1x = 0
17 + 16x + 4x2 = 0 + -5x2 + 5x2
17 + 16x + 4x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
17 + 16x + 4x2 = 0

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

Divide each side by '4'.
4.25 + 4x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 4x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + 4x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 4x + x2 = 0 + -4.25
4x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
4x + x2 = -4.25

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 = -4.25 + 4

Reorder the terms:
4 + 4x + x2 = -4.25 + 4

Combine like terms: -4.25 + 4 = -0.25
4 + 4x + x2 = -0.25

Factor a perfect square on the left side:
(x + 2)(x + 2) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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