h(2h-1)=91

Solution for h(2h-1)=91 equation:

Simplifying
h(2h + -1) = 91

Reorder the terms:
h(-1 + 2h) = 91
(-1 * h + 2h * h) = 91
(-1h + 2h2) = 91

Solving
-1h + 2h2 = 91

Solving for variable 'h'.

Reorder the terms:
-91 + -1h + 2h2 = 91 + -91

Combine like terms: 91 + -91 = 0
-91 + -1h + 2h2 = 0

Factor a trinomial.
(-13 + -2h)(7 + -1h) = 0

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

Simplifying
-13 + -2h = 0

Solving
-13 + -2h = 0

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

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

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

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

Divide each side by '-2'.
h = -6.5

Simplifying
h = -6.5
Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve:

Simplifying
7 + -1h = 0

Solving
7 + -1h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1h = 0 + -7
-1h = 0 + -7

Combine like terms: 0 + -7 = -7
-1h = -7

Divide each side by '-1'.
h = 7

Simplifying
h = 7
Solution
h = {-6.5, 7}