0=-5t^2+7t-2

Solution for 0=-5t^2+7t-2 equation:

Simplifying
0 = -5t2 + 7t + -2

Reorder the terms:
0 = -2 + 7t + -5t2

Solving
0 = -2 + 7t + -5t2

Solving for variable 't'.

Combine like terms: 0 + 2 = 2
2 + -7t + 5t2 = -2 + 7t + -5t2 + 2 + -7t + 5t2

Reorder the terms:
2 + -7t + 5t2 = -2 + 2 + 7t + -7t + -5t2 + 5t2

Combine like terms: -2 + 2 = 0
2 + -7t + 5t2 = 0 + 7t + -7t + -5t2 + 5t2
2 + -7t + 5t2 = 7t + -7t + -5t2 + 5t2

Combine like terms: 7t + -7t = 0
2 + -7t + 5t2 = 0 + -5t2 + 5t2
2 + -7t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
2 + -7t + 5t2 = 0

Factor a trinomial.
(2 + -5t)(1 + -1t) = 0

Subproblem 1
Set the factor '(2 + -5t)' equal to zero and attempt to solve:

Simplifying
2 + -5t = 0

Solving
2 + -5t = 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 + -5t = 0 + -2

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

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

Divide each side by '-5'.
t = 0.4

Simplifying
t = 0.4
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 = {0.4, 1}