18t^2+2t=16

Solution for 18t^2+2t=16 equation:

Simplifying
18t2 + 2t = 16

Reorder the terms:
2t + 18t2 = 16

Solving
2t + 18t2 = 16

Solving for variable 't'.

Reorder the terms:
-16 + 2t + 18t2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 2t + 18t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + t + 9t2) = 0

Factor a trinomial.
2((-1 + -1t)(8 + -9t)) = 0

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

Simplifying
-1 + -1t = 0

Solving
-1 + -1t = 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 + -1t = 0 + 1

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

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

Divide each side by '-1'.
t = -1

Simplifying
t = -1
Subproblem 2
Set the factor '(8 + -9t)' equal to zero and attempt to solve:

Simplifying
8 + -9t = 0

Solving
8 + -9t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9t = 0 + -8
-9t = 0 + -8

Combine like terms: 0 + -8 = -8
-9t = -8

Divide each side by '-9'.
t = 0.8888888889

Simplifying
t = 0.8888888889
Solution
t = {-1, 0.8888888889}