2h-1=10-9h^2

Solution for 2h-1=10-9h^2 equation:

Simplifying
2h + -1 = 10 + -9h2

Reorder the terms:
-1 + 2h = 10 + -9h2

Solving
-1 + 2h = 10 + -9h2

Solving for variable 'h'.

Reorder the terms:
-1 + -10 + 2h + 9h2 = 10 + -9h2 + -10 + 9h2

Combine like terms: -1 + -10 = -11
-11 + 2h + 9h2 = 10 + -9h2 + -10 + 9h2

Reorder the terms:
-11 + 2h + 9h2 = 10 + -10 + -9h2 + 9h2

Combine like terms: 10 + -10 = 0
-11 + 2h + 9h2 = 0 + -9h2 + 9h2
-11 + 2h + 9h2 = -9h2 + 9h2

Combine like terms: -9h2 + 9h2 = 0
-11 + 2h + 9h2 = 0

Factor a trinomial.
(-11 + -9h)(1 + -1h) = 0

Subproblem 1
Set the factor '(-11 + -9h)' equal to zero and attempt to solve:

Simplifying
-11 + -9h = 0

Solving
-11 + -9h = 0

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

Add '11' to each side of the equation.
-11 + 11 + -9h = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -9h = 0 + 11
-9h = 0 + 11

Combine like terms: 0 + 11 = 11
-9h = 11

Divide each side by '-9'.
h = -1.222222222

Simplifying
h = -1.222222222
Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve:

Simplifying
1 + -1h = 0

Solving
1 + -1h = 0

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

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

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

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

Divide each side by '-1'.
h = 1

Simplifying
h = 1
Solution
h = {-1.222222222, 1}