16t^2+2t-18=0

Solution for 16t^2+2t-18=0 equation:

Simplifying
16t2 + 2t + -18 = 0

Reorder the terms:
-18 + 2t + 16t2 = 0

Solving
-18 + 2t + 16t2 = 0

Solving for variable 't'.

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

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

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

Simplifying
-9 + -8t = 0

Solving
-9 + -8t = 0

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

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

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

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

Divide each side by '-8'.
t = -1.125

Simplifying
t = -1.125
Subproblem 2
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
Solution
t = {-1.125, 1}