84=160h+16h^2

Solution for 84=160h+16h^2 equation:

Simplifying
84 = 160h + 16h2

Solving
84 = 160h + 16h2

Solving for variable 'h'.

Reorder the terms:
84 + -160h + -16h2 = 160h + -160h + 16h2 + -16h2

Combine like terms: 160h + -160h = 0
84 + -160h + -16h2 = 0 + 16h2 + -16h2
84 + -160h + -16h2 = 16h2 + -16h2

Combine like terms: 16h2 + -16h2 = 0
84 + -160h + -16h2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(21 + -40h + -4h2) = 0

Factor a trinomial.
4((1 + -2h)(21 + 2h)) = 0

Ignore the factor 4.
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 '(21 + 2h)' equal to zero and attempt to solve:

Simplifying
21 + 2h = 0

Solving
21 + 2h = 0

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

Add '-21' to each side of the equation.
21 + -21 + 2h = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2h = 0 + -21
2h = 0 + -21

Combine like terms: 0 + -21 = -21
2h = -21

Divide each side by '2'.
h = -10.5

Simplifying
h = -10.5
Solution
h = {0.5, -10.5}