4v^2+v-18=0

Solution for 4v^2+v-18=0 equation:

Simplifying
4v2 + v + -18 = 0

Reorder the terms:
-18 + v + 4v2 = 0

Solving
-18 + v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -4v)(2 + -1v) = 0

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

Simplifying
-9 + -4v = 0

Solving
-9 + -4v = 0

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

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

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

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

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

Simplifying
v = -2.25
Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

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