-18t^2+1+7t=0

Solution for -18t^2+1+7t=0 equation:

Simplifying
-18t2 + 1 + 7t = 0

Reorder the terms:
1 + 7t + -18t2 = 0

Solving
1 + 7t + -18t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -2t)(1 + 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 '(1 + 9t)' equal to zero and attempt to solve:

Simplifying
1 + 9t = 0

Solving
1 + 9t = 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 + 9t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9t = 0 + -1
9t = 0 + -1

Combine like terms: 0 + -1 = -1
9t = -1

Divide each side by '9'.
t = -0.1111111111

Simplifying
t = -0.1111111111
Solution
t = {0.5, -0.1111111111}