-7h+3h^2-4h-3=

Solution for -7h+3h^2-4h-3= equation:

Simplifying
-7h + 3h2 + -4h + -3 = 0

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

Combine like terms: -7h + -4h = -11h
-3 + -11h + 3h2 = 0

Solving
-3 + -11h + 3h2 = 0

Solving for variable 'h'.

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

Divide each side by '3'.
-1 + -3.666666667h + h2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -3.666666667h + 1 + h2 = 0 + 1

Reorder the terms:
-1 + 1 + -3.666666667h + h2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3.666666667h + h2 = 0 + 1
-3.666666667h + h2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3.666666667h + h2 = 1

The h term is -3.666666667h.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667h + 3.361111114 + h2 = 1 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667h + h2 = 1 + 3.361111114

Combine like terms: 1 + 3.361111114 = 4.361111114
3.361111114 + -3.666666667h + h2 = 4.361111114

Factor a perfect square on the left side:
(h + -1.833333334)(h + -1.833333334) = 4.361111114

Calculate the square root of the right side: 2.088327348

Break this problem into two subproblems by setting 
(h + -1.833333334) equal to 2.088327348 and -2.088327348.

Subproblem 1
h + -1.833333334 = 2.088327348

Simplifying
h + -1.833333334 = 2.088327348

Reorder the terms:
-1.833333334 + h = 2.088327348

Solving
-1.833333334 + h = 2.088327348

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '1.833333334' to each side of the equation.
-1.833333334 + 1.833333334 + h = 2.088327348 + 1.833333334

Combine like terms: -1.833333334 + 1.833333334 = 0.000000000
0.000000000 + h = 2.088327348 + 1.833333334
h = 2.088327348 + 1.833333334

Combine like terms: 2.088327348 + 1.833333334 = 3.921660682
h = 3.921660682

Simplifying
h = 3.921660682

Subproblem 2
h + -1.833333334 = -2.088327348

Simplifying
h + -1.833333334 = -2.088327348

Reorder the terms:
-1.833333334 + h = -2.088327348

Solving
-1.833333334 + h = -2.088327348

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '1.833333334' to each side of the equation.
-1.833333334 + 1.833333334 + h = -2.088327348 + 1.833333334

Combine like terms: -1.833333334 + 1.833333334 = 0.000000000
0.000000000 + h = -2.088327348 + 1.833333334
h = -2.088327348 + 1.833333334

Combine like terms: -2.088327348 + 1.833333334 = -0.254994014
h = -0.254994014

Simplifying
h = -0.254994014

Solution
The solution to the problem is based on the solutions
from the subproblems.
h = {3.921660682, -0.254994014}