2h^2-29h-15=0

Solution for 2h^2-29h-15=0 equation:

Simplifying
2h2 + -29h + -15 = 0

Reorder the terms:
-15 + -29h + 2h2 = 0

Solving
-15 + -29h + 2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -2h)(15 + -1h) = 0

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

Simplifying
-1 + -2h = 0

Solving
-1 + -2h = 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 + -2h = 0 + 1

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

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

Divide each side by '-2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
Set the factor '(15 + -1h)' equal to zero and attempt to solve:

Simplifying
15 + -1h = 0

Solving
15 + -1h = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1h = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1h = 0 + -15
-1h = 0 + -15

Combine like terms: 0 + -15 = -15
-1h = -15

Divide each side by '-1'.
h = 15

Simplifying
h = 15
Solution
h = {-0.5, 15}