7t^2-9t+2=0

Solution for 7t^2-9t+2=0 equation:

Simplifying
7t2 + -9t + 2 = 0

Reorder the terms:
2 + -9t + 7t2 = 0

Solving
2 + -9t + 7t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + -7t)(1 + -1t) = 0

Subproblem 1
Set the factor '(2 + -7t)' equal to zero and attempt to solve:

Simplifying
2 + -7t = 0

Solving
2 + -7t = 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 + -7t = 0 + -2

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

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

Divide each side by '-7'.
t = 0.2857142857

Simplifying
t = 0.2857142857
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 = {0.2857142857, 1}