4h^2+24h-133=0

Solution for 4h^2+24h-133=0 equation:

Simplifying
4h2 + 24h + -133 = 0

Reorder the terms:
-133 + 24h + 4h2 = 0

Solving
-133 + 24h + 4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-19 + -2h)(7 + -2h) = 0

Subproblem 1
Set the factor '(-19 + -2h)' equal to zero and attempt to solve:

Simplifying
-19 + -2h = 0

Solving
-19 + -2h = 0

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

Add '19' to each side of the equation.
-19 + 19 + -2h = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -2h = 0 + 19
-2h = 0 + 19

Combine like terms: 0 + 19 = 19
-2h = 19

Divide each side by '-2'.
h = -9.5

Simplifying
h = -9.5
Subproblem 2
Set the factor '(7 + -2h)' equal to zero and attempt to solve:

Simplifying
7 + -2h = 0

Solving
7 + -2h = 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 + -2h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2h = 0 + -7
-2h = 0 + -7

Combine like terms: 0 + -7 = -7
-2h = -7

Divide each side by '-2'.
h = 3.5

Simplifying
h = 3.5
Solution
h = {-9.5, 3.5}