-11h+13h^2=2

Solution for -11h+13h^2=2 equation:

Simplifying
-11h + 13h2 = 2

Solving
-11h + 13h2 = 2

Solving for variable 'h'.

Reorder the terms:
-2 + -11h + 13h2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -11h + 13h2 = 0

Factor a trinomial.
(-2 + -13h)(1 + -1h) = 0

Subproblem 1
Set the factor '(-2 + -13h)' equal to zero and attempt to solve:

Simplifying
-2 + -13h = 0

Solving
-2 + -13h = 0

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

Add '2' to each side of the equation.
-2 + 2 + -13h = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -13h = 0 + 2
-13h = 0 + 2

Combine like terms: 0 + 2 = 2
-13h = 2

Divide each side by '-13'.
h = -0.1538461538

Simplifying
h = -0.1538461538
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 = {-0.1538461538, 1}