18t^2-2=5t

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

Simplifying
18t2 + -2 = 5t

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

Solving
-2 + 18t2 = 5t

Solving for variable 't'.

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

Combine like terms: 5t + -5t = 0
-2 + -5t + 18t2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
t = {-0.2222222222, 0.5}