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

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

Simplifying
-1h2 + 17h + 1 = -5h2 + h + -16

Reorder the terms:
1 + 17h + -1h2 = -5h2 + h + -16

Reorder the terms:
1 + 17h + -1h2 = -16 + h + -5h2

Solving
1 + 17h + -1h2 = -16 + h + -5h2

Solving for variable 'h'.

Reorder the terms:
1 + 16 + 17h + -1h + -1h2 + 5h2 = -16 + h + -5h2 + 16 + -1h + 5h2

Combine like terms: 1 + 16 = 17
17 + 17h + -1h + -1h2 + 5h2 = -16 + h + -5h2 + 16 + -1h + 5h2

Combine like terms: 17h + -1h = 16h
17 + 16h + -1h2 + 5h2 = -16 + h + -5h2 + 16 + -1h + 5h2

Combine like terms: -1h2 + 5h2 = 4h2
17 + 16h + 4h2 = -16 + h + -5h2 + 16 + -1h + 5h2

Reorder the terms:
17 + 16h + 4h2 = -16 + 16 + h + -1h + -5h2 + 5h2

Combine like terms: -16 + 16 = 0
17 + 16h + 4h2 = 0 + h + -1h + -5h2 + 5h2
17 + 16h + 4h2 = h + -1h + -5h2 + 5h2

Combine like terms: h + -1h = 0
17 + 16h + 4h2 = 0 + -5h2 + 5h2
17 + 16h + 4h2 = -5h2 + 5h2

Combine like terms: -5h2 + 5h2 = 0
17 + 16h + 4h2 = 0

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

Divide each side by '4'.
4.25 + 4h + h2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 4h + -4.25 + h2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + 4h + h2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 4h + h2 = 0 + -4.25
4h + h2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
4h + h2 = -4.25

The h term is 4h.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4h + 4 + h2 = -4.25 + 4

Reorder the terms:
4 + 4h + h2 = -4.25 + 4

Combine like terms: -4.25 + 4 = -0.25
4 + 4h + h2 = -0.25

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.