0=4t^2-9t+5

Solution for 0=4t^2-9t+5 equation:

Simplifying
0 = 4t2 + -9t + 5

Reorder the terms:
0 = 5 + -9t + 4t2

Solving
0 = 5 + -9t + 4t2

Solving for variable 't'.

Combine like terms: 0 + -5 = -5
-5 + 9t + -4t2 = 5 + -9t + 4t2 + -5 + 9t + -4t2

Reorder the terms:
-5 + 9t + -4t2 = 5 + -5 + -9t + 9t + 4t2 + -4t2

Combine like terms: 5 + -5 = 0
-5 + 9t + -4t2 = 0 + -9t + 9t + 4t2 + -4t2
-5 + 9t + -4t2 = -9t + 9t + 4t2 + -4t2

Combine like terms: -9t + 9t = 0
-5 + 9t + -4t2 = 0 + 4t2 + -4t2
-5 + 9t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
-5 + 9t + -4t2 = 0

Factor a trinomial.
(-5 + 4t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-5 + 4t)' equal to zero and attempt to solve:

Simplifying
-5 + 4t = 0

Solving
-5 + 4t = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4t = 0 + 5
4t = 0 + 5

Combine like terms: 0 + 5 = 5
4t = 5

Divide each side by '4'.
t = 1.25

Simplifying
t = 1.25
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 = {1.25, 1}