-4h^2+h+18=

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

Simplifying
-4h2 + h + 18 = 0

Reorder the terms:
18 + h + -4h2 = 0

Solving
18 + h + -4h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(9 + -4h)(2 + h) = 0

Subproblem 1
Set the factor '(9 + -4h)' equal to zero and attempt to solve:

Simplifying
9 + -4h = 0

Solving
9 + -4h = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4h = 0 + -9
-4h = 0 + -9

Combine like terms: 0 + -9 = -9
-4h = -9

Divide each side by '-4'.
h = 2.25

Simplifying
h = 2.25
Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 0

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

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

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

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

Simplifying
h = -2
Solution
h = {2.25, -2}