5h^2+18h+4=7h-h^2

Solution for 5h^2+18h+4=7h-h^2 equation:

Simplifying
5h2 + 18h + 4 = 7h + -1h2

Reorder the terms:
4 + 18h + 5h2 = 7h + -1h2

Solving
4 + 18h + 5h2 = 7h + -1h2

Solving for variable 'h'.

Reorder the terms:
4 + 18h + -7h + 5h2 + h2 = 7h + -1h2 + -7h + h2

Combine like terms: 18h + -7h = 11h
4 + 11h + 5h2 + h2 = 7h + -1h2 + -7h + h2

Combine like terms: 5h2 + h2 = 6h2
4 + 11h + 6h2 = 7h + -1h2 + -7h + h2

Reorder the terms:
4 + 11h + 6h2 = 7h + -7h + -1h2 + h2

Combine like terms: 7h + -7h = 0
4 + 11h + 6h2 = 0 + -1h2 + h2
4 + 11h + 6h2 = -1h2 + h2

Combine like terms: -1h2 + h2 = 0
4 + 11h + 6h2 = 0

Factor a trinomial.
(4 + 3h)(1 + 2h) = 0

Subproblem 1
Set the factor '(4 + 3h)' equal to zero and attempt to solve:

Simplifying
4 + 3h = 0

Solving
4 + 3h = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3h = 0 + -4
3h = 0 + -4

Combine like terms: 0 + -4 = -4
3h = -4

Divide each side by '3'.
h = -1.333333333

Simplifying
h = -1.333333333
Subproblem 2
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
Solution
h = {-1.333333333, -0.5}