(3h^2+7h-1)-(4h+8h^2+1)=

Solution for (3h^2+7h-1)-(4h+8h^2+1)= equation:

Simplifying
(3h2 + 7h + -1) + -1(4h + 8h2 + 1) = 0

Reorder the terms:
(-1 + 7h + 3h2) + -1(4h + 8h2 + 1) = 0

Remove parenthesis around (-1 + 7h + 3h2)
-1 + 7h + 3h2 + -1(4h + 8h2 + 1) = 0

Reorder the terms:
-1 + 7h + 3h2 + -1(1 + 4h + 8h2) = 0
-1 + 7h + 3h2 + (1 * -1 + 4h * -1 + 8h2 * -1) = 0
-1 + 7h + 3h2 + (-1 + -4h + -8h2) = 0

Reorder the terms:
-1 + -1 + 7h + -4h + 3h2 + -8h2 = 0

Combine like terms: -1 + -1 = -2
-2 + 7h + -4h + 3h2 + -8h2 = 0

Combine like terms: 7h + -4h = 3h
-2 + 3h + 3h2 + -8h2 = 0

Combine like terms: 3h2 + -8h2 = -5h2
-2 + 3h + -5h2 = 0

Solving
-2 + 3h + -5h2 = 0

Solving for variable 'h'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.4 + -0.6h + h2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.6h + -0.4 + h2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.6h + h2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.6h + h2 = 0 + -0.4
-0.6h + h2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.6h + h2 = -0.4

The h term is -0.6h.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6h + 0.09 + h2 = -0.4 + 0.09

Reorder the terms:
0.09 + -0.6h + h2 = -0.4 + 0.09

Combine like terms: -0.4 + 0.09 = -0.31
0.09 + -0.6h + h2 = -0.31

Factor a perfect square on the left side:
(h + -0.3)(h + -0.3) = -0.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.