18t^2+5t-2=

Solution for 18t^2+5t-2= equation:

Simplifying
18t2 + 5t + -2 = 0

Reorder the terms:
-2 + 5t + 18t2 = 0

Solving
-2 + 5t + 18t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(-1 + -2t)' equal to zero and attempt to solve:

Simplifying
-1 + -2t = 0

Solving
-1 + -2t = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2t = 0 + 1

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

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

Divide each side by '-2'.
t = -0.5

Simplifying
t = -0.5
Subproblem 2
Set the factor '(2 + -9t)' equal to zero and attempt to solve:

Simplifying
2 + -9t = 0

Solving
2 + -9t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9t = 0 + -2
-9t = 0 + -2

Combine like terms: 0 + -2 = -2
-9t = -2

Divide each side by '-9'.
t = 0.2222222222

Simplifying
t = 0.2222222222
Solution
t = {-0.5, 0.2222222222}