-16h^2-49h-3=0

Solution for -16h^2-49h-3=0 equation:

Simplifying
-16h2 + -49h + -3 = 0

Reorder the terms:
-3 + -49h + -16h2 = 0

Solving
-3 + -49h + -16h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 49h + 16h2) = 0

Factor a trinomial.
-1((3 + h)(1 + 16h)) = 0

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

Simplifying
3 + h = 0

Solving
3 + h = 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 + h = 0 + -3

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

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

Simplifying
h = -3
Subproblem 2
Set the factor '(1 + 16h)' equal to zero and attempt to solve:

Simplifying
1 + 16h = 0

Solving
1 + 16h = 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 + 16h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 16h = 0 + -1
16h = 0 + -1

Combine like terms: 0 + -1 = -1
16h = -1

Divide each side by '16'.
h = -0.0625

Simplifying
h = -0.0625
Solution
h = {-3, -0.0625}