18t^2-55t-28=0

Solution for 18t^2-55t-28=0 equation:

Simplifying
18t2 + -55t + -28 = 0

Reorder the terms:
-28 + -55t + 18t2 = 0

Solving
-28 + -55t + 18t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -9t)(7 + -2t) = 0

Subproblem 1
Set the factor '(-4 + -9t)' equal to zero and attempt to solve:

Simplifying
-4 + -9t = 0

Solving
-4 + -9t = 0

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

Add '4' to each side of the equation.
-4 + 4 + -9t = 0 + 4

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

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

Divide each side by '-9'.
t = -0.4444444444

Simplifying
t = -0.4444444444
Subproblem 2
Set the factor '(7 + -2t)' equal to zero and attempt to solve:

Simplifying
7 + -2t = 0

Solving
7 + -2t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2t = 0 + -7
-2t = 0 + -7

Combine like terms: 0 + -7 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5
Solution
t = {-0.4444444444, 3.5}