86h^2+46h=0

Solution for 86h^2+46h=0 equation:

Simplifying
86h2 + 46h = 0

Reorder the terms:
46h + 86h2 = 0

Solving
46h + 86h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(23 + 43h) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(23 + 43h)' equal to zero and attempt to solve:

Simplifying
23 + 43h = 0

Solving
23 + 43h = 0

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

Add '-23' to each side of the equation.
23 + -23 + 43h = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 43h = 0 + -23
43h = 0 + -23

Combine like terms: 0 + -23 = -23
43h = -23

Divide each side by '43'.
h = -0.5348837209

Simplifying
h = -0.5348837209
Solution
h = {0, -0.5348837209}