8h^2+23h-3=0

Solution for 8h^2+23h-3=0 equation:

Simplifying
8h2 + 23h + -3 = 0

Reorder the terms:
-3 + 23h + 8h2 = 0

Solving
-3 + 23h + 8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-3 + -1h)(1 + -8h) = 0

Subproblem 1
Set the factor '(-3 + -1h)' equal to zero and attempt to solve:

Simplifying
-3 + -1h = 0

Solving
-3 + -1h = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1h = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1h = 0 + 3
-1h = 0 + 3

Combine like terms: 0 + 3 = 3
-1h = 3

Divide each side by '-1'.
h = -3

Simplifying
h = -3
Subproblem 2
Set the factor '(1 + -8h)' equal to zero and attempt to solve:

Simplifying
1 + -8h = 0

Solving
1 + -8h = 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 + -8h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8h = 0 + -1
-8h = 0 + -1

Combine like terms: 0 + -1 = -1
-8h = -1

Divide each side by '-8'.
h = 0.125

Simplifying
h = 0.125
Solution
h = {-3, 0.125}